Finite Determinacy and Stability of Flatness of Analytic Mappings

It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations.

Gespeichert in:

Autor*in:	Adamus, Janusz [verfasserIn] Seyedinejad, Hadi

Format:	Artikel
Sprache:	Englisch

Erschienen:	2017

Schlagwörter:	32S30 32C05 32B99 Commutative Algebra 32S05 58K20 Complex Variables 58K40 58K25 Mathematics 13B40

Übergeordnetes Werk:	Enthalten in: Canadian journal of mathematics - Cambridge : Cambridge University Press, 1949, 69(2017), 2, Seite 241-257
Übergeordnetes Werk:	volume:69 ; year:2017 ; number:2 ; pages:241-257

Links:	Volltext Link aufrufen

DOI / URN:	10.4153/CJM-2016-008-0

Katalog-ID:	OLC1992441863

Internformat


LEADER	01000caa a2200265 4500
001	OLC1992441863
003	DE-627
005	20230715041818.0
007	tu
008	170512s2017 xx \|\|\|\|\| 00\| \|\|eng c
024	7		\|a 10.4153/CJM-2016-008-0 \|2 doi
028	5	2	\|a PQ20170901
035			\|a (DE-627)OLC1992441863
035			\|a (DE-599)GBVOLC1992441863
035			\|a (PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730
035			\|a (KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm
040			\|a DE-627 \|b ger \|c DE-627 \|e rakwb
041			\|a eng
082	0	4	\|a 510 \|q DNB
100	1		\|a Adamus, Janusz \|e verfasserin \|4 aut
245	1	0	\|a Finite Determinacy and Stability of Flatness of Analytic Mappings
264		1	\|c 2017
336			\|a Text \|b txt \|2 rdacontent
337			\|a ohne Hilfsmittel zu benutzen \|b n \|2 rdamedia
338			\|a Band \|b nc \|2 rdacarrier
520			\|a It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations.
650		4	\|a 32S30
650		4	\|a 32C05
650		4	\|a 32B99
650		4	\|a Commutative Algebra
650		4	\|a 32S05
650		4	\|a 58K20
650		4	\|a Complex Variables
650		4	\|a 58K40
650		4	\|a 58K25
650		4	\|a Mathematics
650		4	\|a 13B40
700	1		\|a Seyedinejad, Hadi \|4 oth
773	0	8	\|i Enthalten in \|t Canadian journal of mathematics \|d Cambridge : Cambridge University Press, 1949 \|g 69(2017), 2, Seite 241-257 \|w (DE-627)129851965 \|w (DE-600)280533-9 \|w (DE-576)015151891 \|x 0008-414X \|7 nnns
773	1	8	\|g volume:69 \|g year:2017 \|g number:2 \|g pages:241-257
856	4	1	\|u http://dx.doi.org/10.4153/CJM-2016-008-0 \|3 Volltext
856	4	2	\|u http://arxiv.org/abs/1407.0229
912			\|a GBV_USEFLAG_A
912			\|a SYSFLAG_A
912			\|a GBV_OLC
912			\|a SSG-OLC-MAT
912			\|a SSG-OPC-MAT
912			\|a GBV_ILN_24
912			\|a GBV_ILN_30
912			\|a GBV_ILN_70
912			\|a GBV_ILN_130
912			\|a GBV_ILN_2002
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_4027
912			\|a GBV_ILN_4029
912			\|a GBV_ILN_4036
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4310
912			\|a GBV_ILN_4311
912			\|a GBV_ILN_4315
912			\|a GBV_ILN_4318
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
951			\|a AR
952			\|d 69 \|j 2017 \|e 2 \|h 241-257

Indexfelder

author_variant	j a ja
matchkey_str	article:0008414X:2017----::iieeemncadtbltofansoa
hierarchy_sort_str	2017
publishDate	2017
allfields	10.4153/CJM-2016-008-0 doi PQ20170901 (DE-627)OLC1992441863 (DE-599)GBVOLC1992441863 (PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730 (KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm DE-627 ger DE-627 rakwb eng 510 DNB Adamus, Janusz verfasserin aut Finite Determinacy and Stability of Flatness of Analytic Mappings 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations. 32S30 32C05 32B99 Commutative Algebra 32S05 58K20 Complex Variables 58K40 58K25 Mathematics 13B40 Seyedinejad, Hadi oth Enthalten in Canadian journal of mathematics Cambridge : Cambridge University Press, 1949 69(2017), 2, Seite 241-257 (DE-627)129851965 (DE-600)280533-9 (DE-576)015151891 0008-414X nnns volume:69 year:2017 number:2 pages:241-257 http://dx.doi.org/10.4153/CJM-2016-008-0 Volltext http://arxiv.org/abs/1407.0229 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4324 GBV_ILN_4325 AR 69 2017 2 241-257
spelling	10.4153/CJM-2016-008-0 doi PQ20170901 (DE-627)OLC1992441863 (DE-599)GBVOLC1992441863 (PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730 (KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm DE-627 ger DE-627 rakwb eng 510 DNB Adamus, Janusz verfasserin aut Finite Determinacy and Stability of Flatness of Analytic Mappings 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations. 32S30 32C05 32B99 Commutative Algebra 32S05 58K20 Complex Variables 58K40 58K25 Mathematics 13B40 Seyedinejad, Hadi oth Enthalten in Canadian journal of mathematics Cambridge : Cambridge University Press, 1949 69(2017), 2, Seite 241-257 (DE-627)129851965 (DE-600)280533-9 (DE-576)015151891 0008-414X nnns volume:69 year:2017 number:2 pages:241-257 http://dx.doi.org/10.4153/CJM-2016-008-0 Volltext http://arxiv.org/abs/1407.0229 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4324 GBV_ILN_4325 AR 69 2017 2 241-257
allfields_unstemmed	10.4153/CJM-2016-008-0 doi PQ20170901 (DE-627)OLC1992441863 (DE-599)GBVOLC1992441863 (PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730 (KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm DE-627 ger DE-627 rakwb eng 510 DNB Adamus, Janusz verfasserin aut Finite Determinacy and Stability of Flatness of Analytic Mappings 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations. 32S30 32C05 32B99 Commutative Algebra 32S05 58K20 Complex Variables 58K40 58K25 Mathematics 13B40 Seyedinejad, Hadi oth Enthalten in Canadian journal of mathematics Cambridge : Cambridge University Press, 1949 69(2017), 2, Seite 241-257 (DE-627)129851965 (DE-600)280533-9 (DE-576)015151891 0008-414X nnns volume:69 year:2017 number:2 pages:241-257 http://dx.doi.org/10.4153/CJM-2016-008-0 Volltext http://arxiv.org/abs/1407.0229 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4324 GBV_ILN_4325 AR 69 2017 2 241-257
allfieldsGer	10.4153/CJM-2016-008-0 doi PQ20170901 (DE-627)OLC1992441863 (DE-599)GBVOLC1992441863 (PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730 (KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm DE-627 ger DE-627 rakwb eng 510 DNB Adamus, Janusz verfasserin aut Finite Determinacy and Stability of Flatness of Analytic Mappings 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations. 32S30 32C05 32B99 Commutative Algebra 32S05 58K20 Complex Variables 58K40 58K25 Mathematics 13B40 Seyedinejad, Hadi oth Enthalten in Canadian journal of mathematics Cambridge : Cambridge University Press, 1949 69(2017), 2, Seite 241-257 (DE-627)129851965 (DE-600)280533-9 (DE-576)015151891 0008-414X nnns volume:69 year:2017 number:2 pages:241-257 http://dx.doi.org/10.4153/CJM-2016-008-0 Volltext http://arxiv.org/abs/1407.0229 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4324 GBV_ILN_4325 AR 69 2017 2 241-257
allfieldsSound	10.4153/CJM-2016-008-0 doi PQ20170901 (DE-627)OLC1992441863 (DE-599)GBVOLC1992441863 (PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730 (KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm DE-627 ger DE-627 rakwb eng 510 DNB Adamus, Janusz verfasserin aut Finite Determinacy and Stability of Flatness of Analytic Mappings 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations. 32S30 32C05 32B99 Commutative Algebra 32S05 58K20 Complex Variables 58K40 58K25 Mathematics 13B40 Seyedinejad, Hadi oth Enthalten in Canadian journal of mathematics Cambridge : Cambridge University Press, 1949 69(2017), 2, Seite 241-257 (DE-627)129851965 (DE-600)280533-9 (DE-576)015151891 0008-414X nnns volume:69 year:2017 number:2 pages:241-257 http://dx.doi.org/10.4153/CJM-2016-008-0 Volltext http://arxiv.org/abs/1407.0229 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4324 GBV_ILN_4325 AR 69 2017 2 241-257
language	English
source	Enthalten in Canadian journal of mathematics 69(2017), 2, Seite 241-257 volume:69 year:2017 number:2 pages:241-257
sourceStr	Enthalten in Canadian journal of mathematics 69(2017), 2, Seite 241-257 volume:69 year:2017 number:2 pages:241-257
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	32S30 32C05 32B99 Commutative Algebra 32S05 58K20 Complex Variables 58K40 58K25 Mathematics 13B40
dewey-raw	510
isfreeaccess_bool	false
container_title	Canadian journal of mathematics
authorswithroles_txt_mv	Adamus, Janusz @@aut@@ Seyedinejad, Hadi @@oth@@
publishDateDaySort_date	2017-01-01T00:00:00Z
hierarchy_top_id	129851965
dewey-sort	3510
id	OLC1992441863
language_de	englisch
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC1992441863</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230715041818.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">170512s2017 xx \|\|\|\|\| 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.4153/CJM-2016-008-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20170901</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC1992441863</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC1992441863</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DNB</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Adamus, Janusz</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite Determinacy and Stability of Flatness of Analytic Mappings</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2017</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">32S30</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">32C05</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">32B99</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutative Algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">32S05</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">58K20</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Complex Variables</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">58K40</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">58K25</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">13B40</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Seyedinejad, Hadi</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Canadian journal of mathematics</subfield><subfield code="d">Cambridge : Cambridge University Press, 1949</subfield><subfield code="g">69(2017), 2, Seite 241-257</subfield><subfield code="w">(DE-627)129851965</subfield><subfield code="w">(DE-600)280533-9</subfield><subfield code="w">(DE-576)015151891</subfield><subfield code="x">0008-414X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:69</subfield><subfield code="g">year:2017</subfield><subfield code="g">number:2</subfield><subfield code="g">pages:241-257</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.4153/CJM-2016-008-0</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://arxiv.org/abs/1407.0229</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_130</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4029</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4036</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4310</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4311</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4315</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">69</subfield><subfield code="j">2017</subfield><subfield code="e">2</subfield><subfield code="h">241-257</subfield></datafield></record></collection>
author	Adamus, Janusz
spellingShingle	Adamus, Janusz ddc 510 misc 32S30 misc 32C05 misc 32B99 misc Commutative Algebra misc 32S05 misc 58K20 misc Complex Variables misc 58K40 misc 58K25 misc Mathematics misc 13B40 Finite Determinacy and Stability of Flatness of Analytic Mappings
authorStr	Adamus, Janusz
ppnlink_with_tag_str_mv	@@773@@(DE-627)129851965
format	Article
dewey-ones	510 - Mathematics
delete_txt_mv	keep
author_role	aut
collection	OLC
remote_str	false
illustrated	Not Illustrated
issn	0008-414X
topic_title	510 DNB Finite Determinacy and Stability of Flatness of Analytic Mappings 32S30 32C05 32B99 Commutative Algebra 32S05 58K20 Complex Variables 58K40 58K25 Mathematics 13B40
topic	ddc 510 misc 32S30 misc 32C05 misc 32B99 misc Commutative Algebra misc 32S05 misc 58K20 misc Complex Variables misc 58K40 misc 58K25 misc Mathematics misc 13B40
topic_unstemmed	ddc 510 misc 32S30 misc 32C05 misc 32B99 misc Commutative Algebra misc 32S05 misc 58K20 misc Complex Variables misc 58K40 misc 58K25 misc Mathematics misc 13B40
topic_browse	ddc 510 misc 32S30 misc 32C05 misc 32B99 misc Commutative Algebra misc 32S05 misc 58K20 misc Complex Variables misc 58K40 misc 58K25 misc Mathematics misc 13B40
format_facet	Aufsätze Gedruckte Aufsätze
format_main_str_mv	Text Zeitschrift/Artikel
carriertype_str_mv	nc
author2_variant	h s hs
hierarchy_parent_title	Canadian journal of mathematics
hierarchy_parent_id	129851965
dewey-tens	510 - Mathematics
hierarchy_top_title	Canadian journal of mathematics
isfreeaccess_txt	false
familylinks_str_mv	(DE-627)129851965 (DE-600)280533-9 (DE-576)015151891
title	Finite Determinacy and Stability of Flatness of Analytic Mappings
ctrlnum	(DE-627)OLC1992441863 (DE-599)GBVOLC1992441863 (PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730 (KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm
title_full	Finite Determinacy and Stability of Flatness of Analytic Mappings
author_sort	Adamus, Janusz
journal	Canadian journal of mathematics
journalStr	Canadian journal of mathematics
lang_code	eng
isOA_bool	false
dewey-hundreds	500 - Science
recordtype	marc
publishDateSort	2017
contenttype_str_mv	txt
container_start_page	241
author_browse	Adamus, Janusz
container_volume	69
class	510 DNB
format_se	Aufsätze
author-letter	Adamus, Janusz
doi_str_mv	10.4153/CJM-2016-008-0
dewey-full	510
title_sort	finite determinacy and stability of flatness of analytic mappings
title_auth	Finite Determinacy and Stability of Flatness of Analytic Mappings
abstract	It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations.
abstractGer	It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations.
abstract_unstemmed	It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations.
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4324 GBV_ILN_4325
container_issue	2
title_short	Finite Determinacy and Stability of Flatness of Analytic Mappings
url	http://dx.doi.org/10.4153/CJM-2016-008-0 http://arxiv.org/abs/1407.0229
remote_bool	false
author2	Seyedinejad, Hadi
author2Str	Seyedinejad, Hadi
ppnlink	129851965
mediatype_str_mv	n
isOA_txt	false
hochschulschrift_bool	false
author2_role	oth
doi_str	10.4153/CJM-2016-008-0
up_date	2024-07-04T04:57:22.658Z
_version_	1803623116475203584
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC1992441863</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230715041818.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">170512s2017 xx \|\|\|\|\| 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.4153/CJM-2016-008-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20170901</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC1992441863</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC1992441863</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)a1361-2c6229d3950e77c7779927a193ef3ec47f08e96f08a2cee388be66b26051ee730</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0062914620170000069000200241finitedeterminacyandstabilityofflatnessofanalyticm</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DNB</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Adamus, Janusz</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite Determinacy and Stability of Flatness of Analytic Mappings</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2017</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">32S30</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">32C05</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">32B99</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutative Algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">32S05</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">58K20</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Complex Variables</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">58K40</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">58K25</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">13B40</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Seyedinejad, Hadi</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Canadian journal of mathematics</subfield><subfield code="d">Cambridge : Cambridge University Press, 1949</subfield><subfield code="g">69(2017), 2, Seite 241-257</subfield><subfield code="w">(DE-627)129851965</subfield><subfield code="w">(DE-600)280533-9</subfield><subfield code="w">(DE-576)015151891</subfield><subfield code="x">0008-414X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:69</subfield><subfield code="g">year:2017</subfield><subfield code="g">number:2</subfield><subfield code="g">pages:241-257</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.4153/CJM-2016-008-0</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://arxiv.org/abs/1407.0229</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_130</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4029</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4036</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4310</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4311</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4315</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">69</subfield><subfield code="j">2017</subfield><subfield code="e">2</subfield><subfield code="h">241-257</subfield></datafield></record></collection>
score	7.401101

Nicht das Richtige dabei?

Schreiben Sie uns!

Finite Determinacy and Stability of Flatness of Analytic Mappings

Nicht das Richtige dabei?

Zugang & Verfügbarkeit

Vorhandene Bände

Nicht das Richtige dabei?