# Polynomial maps with maximal multiplicity and the special closure

Carles Bivià-Ausina, Jorge A.C. Huarcaya

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

## Resumen

In this article we characterize the polynomial maps F: C n → C n for which F - 1 (0) is finite and their multiplicity μ(F) is equal to n! V n (Γ ~ + (F)) , where Γ ~ + (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.

Idioma original Inglés 413-429 17 Monatshefte fur Mathematik 188 3 https://doi.org/10.1007/s00605-018-1204-9 Publicada - 11 mar. 2019