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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.)

Polynomial maps with maximal multiplicity and the special closure

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Author(s):
Bivia-Ausina, Carles [1] ; Huarcaya, Jorge A. C. [2]
Total Authors: 2
Affiliation:
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Cami de Vera, S-N, E-46022 Valencia - Spain
[2] Univ San Ignacio Loyola, Ave La Fontana 550, Lima 15024 - Peru
Total Affiliations: 2
Document type: Journal article
Source: MONATSHEFTE FUR MATHEMATIK; v. 188, n. 3, p. 413-429, MAR 2019.
Web of Science Citations: 0
Abstract

In this article we characterize the polynomialmaps F : Cn. Cn for which F -1(0) is finite and their multiplicity mu(F) is equal to n! Vn( +(F)), where +(F) is the global Newton polyhedron of F. As an application, we derive a characterization of those polynomial maps whose multiplicity is maximal with respect to a fixed Newton filtration. (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