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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.)

Growth at infinity and index of polynomial maps

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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, Valencia 46022 - Spain
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 422, n. 2, p. 1414-1433, FEB 15 2015.
Web of Science Citations: 2
Abstract

Let F : K-n --> K-n be a polynomial map such that F-1(0) is compact, where K = R or C. Then we give a condition implying that there is a uniform bound for the Lojasiewicz exponent at infinity in certain deformations of F. This fact gives a result about the invariance of the global index of F. (C) 2014 Elsevier Inc. All rights reserved. (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