Examinando por Materia "Multiplicity (Mathematics)"
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- PublicaciónAcceso abiertoPolynomial maps with maximal multiplicity and the special closure(Springer Nature, 2018-06-12) Bivià-Ausina, Carles; Coripaco Huarcaya, Jorge A.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.