The Special Closure of Polynomial Maps and Global Non-degeneracy

Carles Bivià-Ausina, Jorge A.C. Huarcaya

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1 Scopus citations

Abstract

Let F: Cn→ Cn 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 (Cn, 0) → C. In particular, we characterize the polynomial maps whose set of special monomials is maximal.

Original languageEnglish
Article number71
JournalMediterranean Journal of Mathematics
Volume14
Issue number2
DOIs
StatePublished - 1 Apr 2017

Bibliographical note

Funding Information:
The first author was partially supported by DGICYT Grant MTM2015-64013-P. The second author was partially supported by FAPESP-BEPE 2012/22365-8.

Publisher Copyright:
© 2017, Springer International Publishing.

Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

Keywords

  • Integral closure
  • Multiplicity
  • Newton polyhedron
  • Polynomial maps

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