An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions
Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires gener...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Tajima, Shinichi [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer International Publishing AG, part of Springer Nature 2018 |
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| Übergeordnetes Werk: |
Enthalten in: Mathematics in computer science - Cham (ZG) : Springer International Publishing AG, 2007, 13(2018), 1-2 vom: 05. Juli, Seite 273-280 |
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| Übergeordnetes Werk: |
volume:13 ; year:2018 ; number:1-2 ; day:05 ; month:07 ; pages:273-280 |
| Links: |
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| DOI / URN: |
10.1007/s11786-018-0366-0 |
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| Katalog-ID: |
SPR022426973 |
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| 100 | 1 | |a Tajima, Shinichi |e verfasserin |4 aut | |
| 245 | 1 | 3 | |a An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions |
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| 520 | |a Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. | ||
| 650 | 4 | |a Comprehensive Gröbner systems |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Parametric local cohomology systems |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Local Euler obstruction |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Polar multiplicity formula |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Nabeshima, Katsusuke |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Mathematics in computer science |d Cham (ZG) : Springer International Publishing AG, 2007 |g 13(2018), 1-2 vom: 05. Juli, Seite 273-280 |w (DE-627)548639310 |w (DE-600)2394773-1 |x 1661-8289 |7 nnns |
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10.1007/s11786-018-0366-0 doi (DE-627)SPR022426973 (SPR)s11786-018-0366-0-e DE-627 ger DE-627 rakwb eng Tajima, Shinichi verfasserin aut An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG, part of Springer Nature 2018 Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. Comprehensive Gröbner systems (dpeaa)DE-He213 Parametric local cohomology systems (dpeaa)DE-He213 Local Euler obstruction (dpeaa)DE-He213 Polar multiplicity formula (dpeaa)DE-He213 Nabeshima, Katsusuke aut Enthalten in Mathematics in computer science Cham (ZG) : Springer International Publishing AG, 2007 13(2018), 1-2 vom: 05. Juli, Seite 273-280 (DE-627)548639310 (DE-600)2394773-1 1661-8289 nnns volume:13 year:2018 number:1-2 day:05 month:07 pages:273-280 https://dx.doi.org/10.1007/s11786-018-0366-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2018 1-2 05 07 273-280 |
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10.1007/s11786-018-0366-0 doi (DE-627)SPR022426973 (SPR)s11786-018-0366-0-e DE-627 ger DE-627 rakwb eng Tajima, Shinichi verfasserin aut An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG, part of Springer Nature 2018 Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. Comprehensive Gröbner systems (dpeaa)DE-He213 Parametric local cohomology systems (dpeaa)DE-He213 Local Euler obstruction (dpeaa)DE-He213 Polar multiplicity formula (dpeaa)DE-He213 Nabeshima, Katsusuke aut Enthalten in Mathematics in computer science Cham (ZG) : Springer International Publishing AG, 2007 13(2018), 1-2 vom: 05. Juli, Seite 273-280 (DE-627)548639310 (DE-600)2394773-1 1661-8289 nnns volume:13 year:2018 number:1-2 day:05 month:07 pages:273-280 https://dx.doi.org/10.1007/s11786-018-0366-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2018 1-2 05 07 273-280 |
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10.1007/s11786-018-0366-0 doi (DE-627)SPR022426973 (SPR)s11786-018-0366-0-e DE-627 ger DE-627 rakwb eng Tajima, Shinichi verfasserin aut An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG, part of Springer Nature 2018 Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. Comprehensive Gröbner systems (dpeaa)DE-He213 Parametric local cohomology systems (dpeaa)DE-He213 Local Euler obstruction (dpeaa)DE-He213 Polar multiplicity formula (dpeaa)DE-He213 Nabeshima, Katsusuke aut Enthalten in Mathematics in computer science Cham (ZG) : Springer International Publishing AG, 2007 13(2018), 1-2 vom: 05. Juli, Seite 273-280 (DE-627)548639310 (DE-600)2394773-1 1661-8289 nnns volume:13 year:2018 number:1-2 day:05 month:07 pages:273-280 https://dx.doi.org/10.1007/s11786-018-0366-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2018 1-2 05 07 273-280 |
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10.1007/s11786-018-0366-0 doi (DE-627)SPR022426973 (SPR)s11786-018-0366-0-e DE-627 ger DE-627 rakwb eng Tajima, Shinichi verfasserin aut An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG, part of Springer Nature 2018 Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. Comprehensive Gröbner systems (dpeaa)DE-He213 Parametric local cohomology systems (dpeaa)DE-He213 Local Euler obstruction (dpeaa)DE-He213 Polar multiplicity formula (dpeaa)DE-He213 Nabeshima, Katsusuke aut Enthalten in Mathematics in computer science Cham (ZG) : Springer International Publishing AG, 2007 13(2018), 1-2 vom: 05. Juli, Seite 273-280 (DE-627)548639310 (DE-600)2394773-1 1661-8289 nnns volume:13 year:2018 number:1-2 day:05 month:07 pages:273-280 https://dx.doi.org/10.1007/s11786-018-0366-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2018 1-2 05 07 273-280 |
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10.1007/s11786-018-0366-0 doi (DE-627)SPR022426973 (SPR)s11786-018-0366-0-e DE-627 ger DE-627 rakwb eng Tajima, Shinichi verfasserin aut An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG, part of Springer Nature 2018 Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. Comprehensive Gröbner systems (dpeaa)DE-He213 Parametric local cohomology systems (dpeaa)DE-He213 Local Euler obstruction (dpeaa)DE-He213 Polar multiplicity formula (dpeaa)DE-He213 Nabeshima, Katsusuke aut Enthalten in Mathematics in computer science Cham (ZG) : Springer International Publishing AG, 2007 13(2018), 1-2 vom: 05. Juli, Seite 273-280 (DE-627)548639310 (DE-600)2394773-1 1661-8289 nnns volume:13 year:2018 number:1-2 day:05 month:07 pages:273-280 https://dx.doi.org/10.1007/s11786-018-0366-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2018 1-2 05 07 273-280 |
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An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions Comprehensive Gröbner systems (dpeaa)DE-He213 Parametric local cohomology systems (dpeaa)DE-He213 Local Euler obstruction (dpeaa)DE-He213 Polar multiplicity formula (dpeaa)DE-He213 |
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implementation of the lê–teissier method for computing local euler obstructions |
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An Implementation of the Lê–Teissier Method for Computing Local Euler Obstructions |
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Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. © Springer International Publishing AG, part of Springer Nature 2018 |
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Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. © Springer International Publishing AG, part of Springer Nature 2018 |
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Abstract Local Euler obstruction of a hypersurface with possibly positive dimensional singularities, a constructible function on the hypersurface, is considered in the context of symbolic computation. It is shown that the method due to Lê and Teissier (Ann Math 114:457–491, 1981) that requires genericity conditions for computing local Euler obstructions can be realized as an algorithm in a deterministic way. The key ideas of the proposed algorithm are the use of comprehensive Gröbner systems and of parametric local cohomology systems. © Springer International Publishing AG, part of Springer Nature 2018 |
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