On singular varieties associated to a polynomial mapping from ℂ n to ℂ n-1
dc.contributor.author | Thuy, Nguyen Thi Bich [UNESP] | |
dc.contributor.author | Ruas, Maria Aparecida Soares | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Universidade de São Paulo (USP) | |
dc.date.accessioned | 2019-10-06T15:35:28Z | |
dc.date.available | 2019-10-06T15:35:28Z | |
dc.date.issued | 2018-01-01 | |
dc.description.abstract | We 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.affiliation | Ibilce-Unesp Universidade Estadual Paulista 'Júlio de Mesquita Filho' Instituto de Biociências Letras e Ciências Exatas, Rua Cristovão Colombo | |
dc.description.affiliation | Universidade de São Paulo Instituto de Ciências Matemáticas e de Computação - USP, Avenida Trabalhador São-Carlense, 400 | |
dc.description.affiliationUnesp | Ibilce-Unesp Universidade Estadual Paulista 'Júlio de Mesquita Filho' Instituto de Biociências Letras e Ciências Exatas, Rua Cristovão Colombo | |
dc.format.extent | 1157-1172 | |
dc.identifier | http://dx.doi.org/10.4310/AJM.2018.v22.n6.a9 | |
dc.identifier.citation | Asian Journal of Mathematics, v. 22, n. 6, p. 1157-1172, 2018. | |
dc.identifier.doi | 10.4310/AJM.2018.v22.n6.a9 | |
dc.identifier.issn | 1945-0036 | |
dc.identifier.issn | 1093-6106 | |
dc.identifier.lattes | 2471960580576495 | |
dc.identifier.orcid | 0000-0002-2547-7716 | |
dc.identifier.scopus | 2-s2.0-85062279196 | |
dc.identifier.uri | http://hdl.handle.net/11449/187414 | |
dc.language.iso | eng | |
dc.relation.ispartof | Asian Journal of Mathematics | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Scopus | |
dc.subject | Complex polynomial mappings | |
dc.subject | Intersection homology | |
dc.subject | Singularities at infinity | |
dc.title | On singular varieties associated to a polynomial mapping from ℂ n to ℂ n-1 | en |
dc.type | Artigo | |
unesp.author.lattes | 2471960580576495 | |
unesp.author.orcid | 0000-0002-2547-7716 |