On singular varieties associated to a polynomial mapping from ℂ n to ℂ n-1

dc.contributor.authorThuy, Nguyen Thi Bich [UNESP]
dc.contributor.authorRuas, Maria Aparecida Soares
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2019-10-06T15:35:28Z
dc.date.available2019-10-06T15:35:28Z
dc.date.issued2018-01-01
dc.description.abstractWe construct singular varieties V G associated to a polynomial mapping G: ℂ n → ℂ n-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 ñ ℂ n-1 where n ≥ 4, the result is still true with an additional condition.en
dc.description.affiliationIbilce-Unesp Universidade Estadual Paulista 'Júlio de Mesquita Filho' Instituto de Biociências Letras e Ciências Exatas, Rua Cristovão Colombo
dc.description.affiliationUniversidade de São Paulo Instituto de Ciências Matemáticas e de Computação - USP, Avenida Trabalhador São-Carlense, 400
dc.description.affiliationUnespIbilce-Unesp Universidade Estadual Paulista 'Júlio de Mesquita Filho' Instituto de Biociências Letras e Ciências Exatas, Rua Cristovão Colombo
dc.format.extent1157-1172
dc.identifierhttp://dx.doi.org/10.4310/AJM.2018.v22.n6.a9
dc.identifier.citationAsian Journal of Mathematics, v. 22, n. 6, p. 1157-1172, 2018.
dc.identifier.doi10.4310/AJM.2018.v22.n6.a9
dc.identifier.issn1945-0036
dc.identifier.issn1093-6106
dc.identifier.lattes2471960580576495
dc.identifier.orcid0000-0002-2547-7716
dc.identifier.scopus2-s2.0-85062279196
dc.identifier.urihttp://hdl.handle.net/11449/187414
dc.language.isoeng
dc.relation.ispartofAsian Journal of Mathematics
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectComplex polynomial mappings
dc.subjectIntersection homology
dc.subjectSingularities at infinity
dc.titleOn singular varieties associated to a polynomial mapping from ℂ n to ℂ n-1en
dc.typeArtigo
unesp.author.lattes2471960580576495
unesp.author.orcid0000-0002-2547-7716

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