Polynomial maps with maximal multiplicity and the special closure

Bivià-Ausina, Carles; Coripaco Huarcaya, Jorge A. · Universidad San Ignacio de Loyola (2018) · DOI: 10.1007/s00605-018-1204-9

Resumen

In this article we characterize the polynomial maps F:Cn→Cn for which F−1(0) is finite and their multiplicity μ(F) is equal to n!Vn(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.

Instituciones: Universidad San Ignacio de Loyola