On segre numbers of homogeneous map germs
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.7146/math.scand.a-23692 http://hdl.handle.net/11449/168931 |
Resumo: | Segre numbers and Segre cycles of ideals were independently introduced by Tworzewski, by Achilles and Manaresi and by Gaffney and Gassler. They are generalization of the Lê numbers and Lê cycles, introduced by Massey. In this article we give Lê-Iomdine type formulas for these cycles and numbers of arbitrary ideals. As a consequence we give a Plöcker type formula for the Segre numbers of ideals generated by weighted homogeneous functions, in terms of their weights and degree. As an application of these results, we compute, in a purely combinatorial manner, the Segre numbers of the ideal which defines the critical loci of a map germ defined by a sequence of central hyperplane arrangements in Cn+1. |
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Repositório Institucional da UNESP |
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On segre numbers of homogeneous map germsSegre numbers and Segre cycles of ideals were independently introduced by Tworzewski, by Achilles and Manaresi and by Gaffney and Gassler. They are generalization of the Lê numbers and Lê cycles, introduced by Massey. In this article we give Lê-Iomdine type formulas for these cycles and numbers of arbitrary ideals. As a consequence we give a Plöcker type formula for the Segre numbers of ideals generated by weighted homogeneous functions, in terms of their weights and degree. As an application of these results, we compute, in a purely combinatorial manner, the Segre numbers of the ideal which defines the critical loci of a map germ defined by a sequence of central hyperplane arrangements in Cn+1.Centro de Ciências Exatas E da Natureza-Campus i Universidade Federal da Paraíba-UfpbInstituto de Biociências Letras E Ciências Exatas Universidade Estadual Paulista-Unesp, RUA Cristóvão Colombo, 2265Instituto de Ciências Matemáticas E de Computação Universidade de São Paulo-Usp, Av. Trabalhador São-Carlense, 400Instituto de Biociências Letras E Ciências Exatas Universidade Estadual Paulista-Unesp, RUA Cristóvão Colombo, 2265Universidade Federal da Paraíba (UFPB)Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Callejas-Bedregal, R.Morgado, M. F.Z. [UNESP]Saia, M. J.2018-12-11T16:43:40Z2018-12-11T16:43:40Z2016-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article303-319http://dx.doi.org/10.7146/math.scand.a-23692Mathematica Scandinavica, v. 118, n. 2, p. 303-319, 2016.0025-5521http://hdl.handle.net/11449/16893110.7146/math.scand.a-236922-s2.0-84984680111Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematica Scandinavica0,442info:eu-repo/semantics/openAccess2021-10-23T16:22:52Zoai:repositorio.unesp.br:11449/168931Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:16:08.493151Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On segre numbers of homogeneous map germs |
title |
On segre numbers of homogeneous map germs |
spellingShingle |
On segre numbers of homogeneous map germs Callejas-Bedregal, R. |
title_short |
On segre numbers of homogeneous map germs |
title_full |
On segre numbers of homogeneous map germs |
title_fullStr |
On segre numbers of homogeneous map germs |
title_full_unstemmed |
On segre numbers of homogeneous map germs |
title_sort |
On segre numbers of homogeneous map germs |
author |
Callejas-Bedregal, R. |
author_facet |
Callejas-Bedregal, R. Morgado, M. F.Z. [UNESP] Saia, M. J. |
author_role |
author |
author2 |
Morgado, M. F.Z. [UNESP] Saia, M. J. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Federal da Paraíba (UFPB) Universidade Estadual Paulista (Unesp) Universidade de São Paulo (USP) |
dc.contributor.author.fl_str_mv |
Callejas-Bedregal, R. Morgado, M. F.Z. [UNESP] Saia, M. J. |
description |
Segre numbers and Segre cycles of ideals were independently introduced by Tworzewski, by Achilles and Manaresi and by Gaffney and Gassler. They are generalization of the Lê numbers and Lê cycles, introduced by Massey. In this article we give Lê-Iomdine type formulas for these cycles and numbers of arbitrary ideals. As a consequence we give a Plöcker type formula for the Segre numbers of ideals generated by weighted homogeneous functions, in terms of their weights and degree. As an application of these results, we compute, in a purely combinatorial manner, the Segre numbers of the ideal which defines the critical loci of a map germ defined by a sequence of central hyperplane arrangements in Cn+1. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-01-01 2018-12-11T16:43:40Z 2018-12-11T16:43:40Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.7146/math.scand.a-23692 Mathematica Scandinavica, v. 118, n. 2, p. 303-319, 2016. 0025-5521 http://hdl.handle.net/11449/168931 10.7146/math.scand.a-23692 2-s2.0-84984680111 |
url |
http://dx.doi.org/10.7146/math.scand.a-23692 http://hdl.handle.net/11449/168931 |
identifier_str_mv |
Mathematica Scandinavica, v. 118, n. 2, p. 303-319, 2016. 0025-5521 10.7146/math.scand.a-23692 2-s2.0-84984680111 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematica Scandinavica 0,442 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
303-319 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129181485105152 |