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Listar por palabra clave "Newton polyhedron"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Newton polyhedron"

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    Global multiplicity, special closure and non-degeneracy of gradient maps 
    Bivià-Ausina, Carles; Huarcaya, Jorge A. C. (Springer-Verlag, 2023-07)
    [EN] Given a polynomial map F : Cn --> Cp with finite zero set, p (sic)n, we introduce the notion of global multiplicity m(F) associated to F, which is analogous to the multiplicity of ideals in Noetherian local rings. ...
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    Growth at infinity and index of polynomial maps 
    Bivià-Ausina, Carles; Huarcaya, Jorge A C (Elsevier, 2015-02)
    Let F: Kn→Kn be a polynomial map such that F−1(0) is compact, where View the MathML source. Then we give a condition implying that there is a uniform bound for the Łojasiewicz exponent at infinity in certain deformations ...
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    Polynomial maps with maximal multiplicity and the special closure 
    Bivià-Ausina, Carles; Huarcaya, Jorge Alberto C. (Springer-Verlag, 2019-03)
    [EN] In this article we characterize the polynomialmaps F : Cn. Cn for which F -1(0) is finite and their multiplicity mu(F) is equal to n! Vn( +(F)), where +(F) is the global Newton polyhedron of F. As an application, we ...
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    The special closure of polynomial maps and global non-degeneracy 
    Bivià-Ausina, Carles; Huarcaya, Jorge Alberto C. (Springer-Verlag, 2017-04)
    [EN] Let F : C-n -> C-n 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 ...