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

Thuy, Nguyen Thi Bich [UNESP]Ruas, Maria Aparecida Soares2019-10-062019-10-062018-01-01Asian Journal of Mathematics, v. 22, n. 6, p. 1157-1172, 2018.1945-00361093-6106http://hdl.handle.net/11449/187414We 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.1157-1172engComplex polynomial mappingsIntersection homologySingularities at infinityOn singular varieties associated to a polynomial mapping from ℂ n to ℂ n-1Artigo10.4310/AJM.2018.v22.n6.a9Acesso aberto2-s2.0-8506227919624719605805764950000-0002-2547-7716