The Special Closure of Polynomial Maps and Global Non-degeneracy

Carles Bivià-Ausina; Jorge A.C. Huarcaya

doi:10.1007/s00009-017-0879-9

The Special Closure of Polynomial Maps and Global Non-degeneracy

Carles Bivià-Ausina, Jorge A.C. Huarcaya

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2 Citas (Scopus)

Resumen

Let F: Cⁿ→ Cⁿ be a polynomial map such that F^{- 1}(0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a notion motivated by the integral closure of ideals in the ring of analytic function germs (Cⁿ, 0) → C. In particular, we characterize the polynomial maps whose set of special monomials is maximal.

Idioma original	Inglés
Número de artículo	71
Publicación	Mediterranean Journal of Mathematics
Volumen	14
N.º	2
DOI	https://doi.org/10.1007/s00009-017-0879-9
Estado	Publicada - 1 abr. 2017
Publicado de forma externa	Sí

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© 2017, Springer International Publishing.

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abstract = "Let F: Cn→ Cn be a polynomial map such that F- 1(0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a notion motivated by the integral closure of ideals in the ring of analytic function germs (Cn, 0) → C. In particular, we characterize the polynomial maps whose set of special monomials is maximal.",

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N2 - Let F: Cn→ Cn be a polynomial map such that F- 1(0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a notion motivated by the integral closure of ideals in the ring of analytic function germs (Cn, 0) → C. In particular, we characterize the polynomial maps whose set of special monomials is maximal.

AB - Let F: Cn→ Cn be a polynomial map such that F- 1(0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a notion motivated by the integral closure of ideals in the ring of analytic function germs (Cn, 0) → C. In particular, we characterize the polynomial maps whose set of special monomials is maximal.

KW - Integral closure

KW - Multiplicity

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KW - Polynomial maps

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The Special Closure of Polynomial Maps and Global Non-degeneracy

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