Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3

Detalhes bibliográficos
Autor(a) principal: Rizziolli, E. C.
Data de Publicação: 2007
Outros Autores: Saia, M. J.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1142/9789812706812_0025
http://hdl.handle.net/11449/34199
Resumo: In this article we show that for corank 1, quasi-homogeneous and finitely determined map germs f : (C-n, 0)-> (C-3, 0), n >= 3 one can obtain formulae for the polar multiplicities defined on the following stable types of f, f(Delta(f) and f(Sigma(n-2,1)(f), in terms of the weights and degrees of f. As a consequence we show how to compute the Euler obstruction of such stable types, also in terms of the weights and degrees of f.
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spelling Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3polar multiplicitiesquasi-homogeneous map germsEuler obstruction of stable typesIn this article we show that for corank 1, quasi-homogeneous and finitely determined map germs f : (C-n, 0)-> (C-3, 0), n >= 3 one can obtain formulae for the polar multiplicities defined on the following stable types of f, f(Delta(f) and f(Sigma(n-2,1)(f), in terms of the weights and degrees of f. As a consequence we show how to compute the Euler obstruction of such stable types, also in terms of the weights and degrees of f.UNESP, IGCE, Dept Math, BR-13506700 Rio Claro, SP, BrazilUniv São Paulo, ICMC, Dept Math, BR-13560 Sao Carlos, SP, BrazilUNESP, IGCE, Dept Math, BR-13506700 Rio Claro, SP, BrazilWorld Scientific Publ Co Pte LtdUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Rizziolli, E. C.Saia, M. J.2014-05-20T15:23:24Z2014-05-20T15:23:24Z2007-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject723-748http://dx.doi.org/10.1142/9789812706812_0025Singularities In Geometry and Topology, 2005. Singapore: World Scientific Publ Co Pte Ltd, p. 723-748, 2007.http://hdl.handle.net/11449/3419910.1142/9789812706812_0025WOS:0002457643000259873188602749310Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSingularities In Geometry and Topology, 2005info:eu-repo/semantics/openAccess2021-10-23T21:37:55Zoai:repositorio.unesp.br:11449/34199Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:37:55Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
title Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
spellingShingle Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
Rizziolli, E. C.
polar multiplicities
quasi-homogeneous map germs
Euler obstruction of stable types
title_short Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
title_full Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
title_fullStr Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
title_full_unstemmed Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
title_sort Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
author Rizziolli, E. C.
author_facet Rizziolli, E. C.
Saia, M. J.
author_role author
author2 Saia, M. J.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Rizziolli, E. C.
Saia, M. J.
dc.subject.por.fl_str_mv polar multiplicities
quasi-homogeneous map germs
Euler obstruction of stable types
topic polar multiplicities
quasi-homogeneous map germs
Euler obstruction of stable types
description In this article we show that for corank 1, quasi-homogeneous and finitely determined map germs f : (C-n, 0)-> (C-3, 0), n >= 3 one can obtain formulae for the polar multiplicities defined on the following stable types of f, f(Delta(f) and f(Sigma(n-2,1)(f), in terms of the weights and degrees of f. As a consequence we show how to compute the Euler obstruction of such stable types, also in terms of the weights and degrees of f.
publishDate 2007
dc.date.none.fl_str_mv 2007-01-01
2014-05-20T15:23:24Z
2014-05-20T15:23:24Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1142/9789812706812_0025
Singularities In Geometry and Topology, 2005. Singapore: World Scientific Publ Co Pte Ltd, p. 723-748, 2007.
http://hdl.handle.net/11449/34199
10.1142/9789812706812_0025
WOS:000245764300025
9873188602749310
url http://dx.doi.org/10.1142/9789812706812_0025
http://hdl.handle.net/11449/34199
identifier_str_mv Singularities In Geometry and Topology, 2005. Singapore: World Scientific Publ Co Pte Ltd, p. 723-748, 2007.
10.1142/9789812706812_0025
WOS:000245764300025
9873188602749310
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Singularities In Geometry and Topology, 2005
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 723-748
dc.publisher.none.fl_str_mv World Scientific Publ Co Pte Ltd
publisher.none.fl_str_mv World Scientific Publ Co Pte Ltd
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
_version_ 1803046634643259392

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