# The Special Closure of Polynomial Maps and Global Non-degeneracy

Carles Bivià-Ausina, Jorge A.C. Huarcaya

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

1 Cita (Scopus)

## Resumen

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.

Idioma original Inglés 71 Mediterranean Journal of Mathematics 14 2 https://doi.org/10.1007/s00009-017-0879-9 Publicada - 1 abr 2017