Repositorio InstitucionalPolynomial maps with maximal multiplicity and the special closure
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Springer Nature
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2018-06-12
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Bivià-Ausina, C., & Huarcaya, J. A. (2018). Polynomial maps with maximal multiplicity and the special closure. Monatshefte für Mathematik, 1-17.
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Monatshefte für Mathematik
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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.
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0026-9255
1436-5081
1436-5081