The Special Closure of Polynomial Maps and Global Non-degeneracy

Autor(es)

Bivia-Ausina, Carles ; Huarcaya, Jorge A. C.

• Tipo de documento: Artigo Científico
• Fonte: Mediterranean Journal of Mathematics; v. 14, n. 2 APR 2017.
• Citações Web of Science: 1

Resumo

Let F : C-n -> C-n be a polynomial map such that F-1 (0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a notion motivated by the integral closure of ideals in the ring of analytic function germs (C-n, 0) -> C. In particular, we characterize the polynomial maps whose set of special monomials is maximal. (AU)

• Processo FAPESP: 12/22365-8 - Ideais Newton não-degenerados no anel dos polinômios
• Beneficiário: Jorge Alberto Coripaco Huarcaya
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado