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.
CITATION STYLE
Bivià-Ausina, C., & Huarcaya, J. A. C. (2019). Polynomial maps with maximal multiplicity and the special closure. Monatshefte Fur Mathematik, 188(3), 413–429. https://doi.org/10.1007/s00605-018-1204-9
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