Meromorphic quadratic differentials with prescribed singularities
Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Diaz-Marin, Homero G. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2000 |
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| Schlagwörter: |
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| Anmerkung: |
© Sociedade Brasileira de Matemática 2000 |
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| Übergeordnetes Werk: |
Enthalten in: Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - Springer-Verlag, 1970, 31(2000), 2 vom: Juni, Seite 189-204 |
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| Übergeordnetes Werk: |
volume:31 ; year:2000 ; number:2 ; month:06 ; pages:189-204 |
| Links: |
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| DOI / URN: |
10.1007/BF01244244 |
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OLC2107394644 |
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| 520 | |a Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. One due to Masur & Smillie, which assumes that poles are at most simple; and a second one due to Muciño-Raymundo, which assumes that the horizontal foliation is orientable. | ||
| 650 | 4 | |a Riemann surface | |
| 650 | 4 | |a singular foliation | |
| 650 | 4 | |a quadratic differential | |
| 650 | 4 | |a meromorphic differential | |
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10.1007/BF01244244 doi (DE-627)OLC2107394644 (DE-He213)BF01244244-p DE-627 ger DE-627 rakwb eng 510 000 VZ 17,1 ssgn Diaz-Marin, Homero G. verfasserin aut Meromorphic quadratic differentials with prescribed singularities 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Sociedade Brasileira de Matemática 2000 Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. One due to Masur & Smillie, which assumes that poles are at most simple; and a second one due to Muciño-Raymundo, which assumes that the horizontal foliation is orientable. Riemann surface singular foliation quadratic differential meromorphic differential Enthalten in Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society Springer-Verlag, 1970 31(2000), 2 vom: Juni, Seite 189-204 (DE-627)130460958 (DE-600)730388-9 (DE-576)01605573X 0100-3569 nnns volume:31 year:2000 number:2 month:06 pages:189-204 https://doi.org/10.1007/BF01244244 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4277 AR 31 2000 2 06 189-204 |
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10.1007/BF01244244 doi (DE-627)OLC2107394644 (DE-He213)BF01244244-p DE-627 ger DE-627 rakwb eng 510 000 VZ 17,1 ssgn Diaz-Marin, Homero G. verfasserin aut Meromorphic quadratic differentials with prescribed singularities 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Sociedade Brasileira de Matemática 2000 Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. One due to Masur & Smillie, which assumes that poles are at most simple; and a second one due to Muciño-Raymundo, which assumes that the horizontal foliation is orientable. Riemann surface singular foliation quadratic differential meromorphic differential Enthalten in Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society Springer-Verlag, 1970 31(2000), 2 vom: Juni, Seite 189-204 (DE-627)130460958 (DE-600)730388-9 (DE-576)01605573X 0100-3569 nnns volume:31 year:2000 number:2 month:06 pages:189-204 https://doi.org/10.1007/BF01244244 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4277 AR 31 2000 2 06 189-204 |
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10.1007/BF01244244 doi (DE-627)OLC2107394644 (DE-He213)BF01244244-p DE-627 ger DE-627 rakwb eng 510 000 VZ 17,1 ssgn Diaz-Marin, Homero G. verfasserin aut Meromorphic quadratic differentials with prescribed singularities 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Sociedade Brasileira de Matemática 2000 Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. One due to Masur & Smillie, which assumes that poles are at most simple; and a second one due to Muciño-Raymundo, which assumes that the horizontal foliation is orientable. Riemann surface singular foliation quadratic differential meromorphic differential Enthalten in Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society Springer-Verlag, 1970 31(2000), 2 vom: Juni, Seite 189-204 (DE-627)130460958 (DE-600)730388-9 (DE-576)01605573X 0100-3569 nnns volume:31 year:2000 number:2 month:06 pages:189-204 https://doi.org/10.1007/BF01244244 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4277 AR 31 2000 2 06 189-204 |
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10.1007/BF01244244 doi (DE-627)OLC2107394644 (DE-He213)BF01244244-p DE-627 ger DE-627 rakwb eng 510 000 VZ 17,1 ssgn Diaz-Marin, Homero G. verfasserin aut Meromorphic quadratic differentials with prescribed singularities 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Sociedade Brasileira de Matemática 2000 Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. One due to Masur & Smillie, which assumes that poles are at most simple; and a second one due to Muciño-Raymundo, which assumes that the horizontal foliation is orientable. Riemann surface singular foliation quadratic differential meromorphic differential Enthalten in Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society Springer-Verlag, 1970 31(2000), 2 vom: Juni, Seite 189-204 (DE-627)130460958 (DE-600)730388-9 (DE-576)01605573X 0100-3569 nnns volume:31 year:2000 number:2 month:06 pages:189-204 https://doi.org/10.1007/BF01244244 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4277 AR 31 2000 2 06 189-204 |
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Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. One due to Masur & Smillie, which assumes that poles are at most simple; and a second one due to Muciño-Raymundo, which assumes that the horizontal foliation is orientable. © Sociedade Brasileira de Matemática 2000 |
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Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. One due to Masur & Smillie, which assumes that poles are at most simple; and a second one due to Muciño-Raymundo, which assumes that the horizontal foliation is orientable. © Sociedade Brasileira de Matemática 2000 |
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Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. One due to Masur & Smillie, which assumes that poles are at most simple; and a second one due to Muciño-Raymundo, which assumes that the horizontal foliation is orientable. © Sociedade Brasileira de Matemática 2000 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2107394644</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502122115.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230502s2000 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF01244244</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2107394644</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF01244244-p</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="a">000</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Diaz-Marin, Homero G.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Meromorphic quadratic differentials with prescribed singularities</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2000</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="500" ind1=" " ind2=" "><subfield code="a">© Sociedade Brasileira de Matemática 2000</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We study the singular flat structure associated to any meromorphic quadratic differential on a compact Riemann surface to prove an existence theorem as follows. There exists a meromorphic quadratic differential with given orders of the poles and zeros and orientability or non orientability of the horizontal foliation, iff these prescribed topological data are admissible according to the Gauss-Bonnet Theorem, the Residue Theorem and certain conditions arising from local orientability or non orientablity considerations. Some few exceptional cases remain excluded. Thus, we generalize two previous results. 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