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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The Special Closure of Polynomial Maps and Global Non-degeneracy

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Author(s):
Bivia-Ausina, Carles ; Huarcaya, Jorge A. C.
Total Authors: 2
Document type: Journal article
Source: Mediterranean Journal of Mathematics; v. 14, n. 2 APR 2017.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 12/22365-8 - Nondegenerate ideals in the ring of polynomials
Grantee:Jorge Alberto Coripaco Huarcaya
Support Opportunities: Scholarships abroad - Research Internship - Doctorate