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://hdl.handle.net/11449/159022 |
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 Le numbers and Le cycles, introduced by Massey. In this article we give Le-Iomdine type formulas for these cycles and numbers of arbitrary ideals. As a consequence we give a Plucker 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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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 Le numbers and Le cycles, introduced by Massey. In this article we give Le-Iomdine type formulas for these cycles and numbers of arbitrary ideals. As a consequence we give a Plucker 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.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Univ Fed Paraiba UFPB, Ctr Ciencias Exatas & Nat, Campus 1,Cidade Univ S-N Castelo Branco, BR-58051900 Joao Pessoa, PB, BrazilUniv Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sj Do Rio Preto, SP, BrazilUniv Sao Paulo, Inst Ciencias Matemat & Comp, Av Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, BrazilUniv Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sj Do Rio Preto, SP, BrazilMatematisk InstUniversidade Federal da Paraíba (UFPB)Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Callejas-Bedregal, R.Morgado, M. F. Z. [UNESP]Saia, M. J.2018-11-26T15:30:48Z2018-11-26T15:30:48Z2016-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article303-319Mathematica Scandinavica. Aarhus: Matematisk Inst, v. 118, n. 2, p. 303-319, 2016.0025-5521http://hdl.handle.net/11449/159022WOS:000381173000008Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematica Scandinavica0,442info:eu-repo/semantics/openAccess2021-10-23T17:09:22Zoai:repositorio.unesp.br:11449/159022Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:04:01.284381Repositório 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 Le numbers and Le cycles, introduced by Massey. In this article we give Le-Iomdine type formulas for these cycles and numbers of arbitrary ideals. As a consequence we give a Plucker 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 2018-11-26T15:30:48Z 2018-11-26T15:30:48Z |
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 |
Mathematica Scandinavica. Aarhus: Matematisk Inst, v. 118, n. 2, p. 303-319, 2016. 0025-5521 http://hdl.handle.net/11449/159022 WOS:000381173000008 |
identifier_str_mv |
Mathematica Scandinavica. Aarhus: Matematisk Inst, v. 118, n. 2, p. 303-319, 2016. 0025-5521 WOS:000381173000008 |
url |
http://hdl.handle.net/11449/159022 |
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.publisher.none.fl_str_mv |
Matematisk Inst |
publisher.none.fl_str_mv |
Matematisk Inst |
dc.source.none.fl_str_mv |
Web of Science 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 |
|
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1808129156419944448 |