The Special Closure of Polynomial Maps and Global Non-degeneracy

Carles Bivià-Ausina, Jorge A.C. Huarcaya

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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
Issue number2
StatePublished - 1 Apr 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing.


  • Integral closure
  • Multiplicity
  • Newton polyhedron
  • Polynomial maps


Dive into the research topics of 'The Special Closure of Polynomial Maps and Global Non-degeneracy'. Together they form a unique fingerprint.

Cite this