ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1

Detalhes bibliográficos
Autor(a) principal: Nguyen Thi Bich Thuy [UNESP]
Data de Publicação: 2018
Outros Autores: Ruas, Maria Aparecida Soares
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/184337
Resumo: We construct singular varieties V-G associated to a polynomial mapping G : C-n -> Cn-1 where n >= 2. Let G : C-3 -> C-2 be a local submersion, we prove that if the homology or the intersection homology with total perversity (with compact supports or closed supports) in dimension two of any variety V-G is trivial then G is a fibration. In the case of a local submersion G : C-n -> Cn-1 where n >= 4, the result is still true with an additional condition.
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spelling ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1Complex polynomial mappingsintersection homologysingularities at infinityWe construct singular varieties V-G associated to a polynomial mapping G : C-n -> Cn-1 where n >= 2. Let G : C-3 -> C-2 be a local submersion, we prove that if the homology or the intersection homology with total perversity (with compact supports or closed supports) in dimension two of any variety V-G is trivial then G is a fibration. In the case of a local submersion G : C-n -> Cn-1 where n >= 4, the result is still true with an additional condition.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Estadual Paulista, Ibilce Unesp, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, Sao Jose Do Rio Preto, BrazilUniv Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, Sao Paulo, BrazilUniv Estadual Paulista, Ibilce Unesp, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, Sao Jose Do Rio Preto, BrazilFAPESP: 2013/18706-7FAPESP: 2014/00304-2CNPq: 305651/2011-0Int Press Boston, IncUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Nguyen Thi Bich Thuy [UNESP]Ruas, Maria Aparecida Soares2019-10-04T11:56:49Z2019-10-04T11:56:49Z2018-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1157-1171Asian Journal Of Mathematics. Somerville: Int Press Boston, Inc, v. 22, n. 6, p. 1157-1171, 2018.1093-6106http://hdl.handle.net/11449/184337WOS:000458025900009Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAsian Journal Of Mathematicsinfo:eu-repo/semantics/openAccess2021-10-22T21:10:10Zoai:repositorio.unesp.br:11449/184337Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T21:10:10Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
title ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
spellingShingle ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
Nguyen Thi Bich Thuy [UNESP]
Complex polynomial mappings
intersection homology
singularities at infinity
title_short ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
title_full ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
title_fullStr ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
title_full_unstemmed ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
title_sort ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
author Nguyen Thi Bich Thuy [UNESP]
author_facet Nguyen Thi Bich Thuy [UNESP]
Ruas, Maria Aparecida Soares
author_role author
author2 Ruas, Maria Aparecida Soares
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Nguyen Thi Bich Thuy [UNESP]
Ruas, Maria Aparecida Soares
dc.subject.por.fl_str_mv Complex polynomial mappings
intersection homology
singularities at infinity
topic Complex polynomial mappings
intersection homology
singularities at infinity
description We construct singular varieties V-G associated to a polynomial mapping G : C-n -> Cn-1 where n >= 2. Let G : C-3 -> C-2 be a local submersion, we prove that if the homology or the intersection homology with total perversity (with compact supports or closed supports) in dimension two of any variety V-G is trivial then G is a fibration. In the case of a local submersion G : C-n -> Cn-1 where n >= 4, the result is still true with an additional condition.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-01
2019-10-04T11:56:49Z
2019-10-04T11:56:49Z
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 Asian Journal Of Mathematics. Somerville: Int Press Boston, Inc, v. 22, n. 6, p. 1157-1171, 2018.
1093-6106
http://hdl.handle.net/11449/184337
WOS:000458025900009
identifier_str_mv Asian Journal Of Mathematics. Somerville: Int Press Boston, Inc, v. 22, n. 6, p. 1157-1171, 2018.
1093-6106
WOS:000458025900009
url http://hdl.handle.net/11449/184337
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Asian Journal Of Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1157-1171
dc.publisher.none.fl_str_mv Int Press Boston, Inc
publisher.none.fl_str_mv Int Press Boston, Inc
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_ 1803046276947771392

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