Polynomial maps with maximal multiplicity and the special closure

Carles Bivià-Ausina; Jorge A.C. Huarcaya

doi:10.1007/s00605-018-1204-9

Polynomial maps with maximal multiplicity and the special closure

Carles Bivià-Ausina, Jorge A.C. Huarcaya

Dynamical systems, differential equations and their applications

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	413-429
Number of pages	17
Journal	Monatshefte fur Mathematik
Volume	188
Issue number	3
DOIs	https://doi.org/10.1007/s00605-018-1204-9
State	Published - 11 Mar 2019

Bibliographical note

Publisher Copyright:
© 2018, Springer-Verlag GmbH Austria, part of Springer Nature.

Keywords

Complex polynomial maps
Milnor number
Multiplicity
Newton polyhedron

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10.1007/s00605-018-1204-9

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Polynomial maps with maximal multiplicity and the special closure

Abstract

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Keywords

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