ON SINGULAR VARIETIES ASSOCIATED TO A POLYNOMIAL MAPPING FROM C-n TO Cn-1
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Data
2018-12-01
Autores
Nguyen Thi Bich Thuy [UNESP]
Ruas, Maria Aparecida Soares
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Int Press Boston, Inc
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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Complex polynomial mappings, intersection homology, singularities at infinity
Como citar
Asian Journal Of Mathematics. Somerville: Int Press Boston, Inc, v. 22, n. 6, p. 1157-1171, 2018.