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Listar por palabra clave "Milnor number"

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Listar por palabra clave "Milnor number"

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    Generic linear sections of complex hypersurfaces and monomial ideals 
    Bivià-Ausina, Carles (Elsevier, 2012-02)
    Let f : (C^n, 0) -->(C, 0) be an analytic function germ. Under the hypothesis that f is Newton non-degenerate, we compute the \mu*-sequence of f in terms of the Newton polyhedron of f . This sequence was defined by ...
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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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    Invariants for bi-Lipschitz equivalence of ideals 
    Bivià-Ausina, Carles; Fukui, Toshizumi (Oxford University Press, 2017)
    [EN] We introduce the notion of bi-Lipschitz equivalence of ideals and derive numerical invariants for such equivalence. In particular, we show that the log canonical threshold of ideals is a bi-Lipschitz invariant. We ...
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    Mixed Bruce-Roberts numbers 
    Bivià-Ausina, Carles; Ruas, M.A.S. (Cambridge University Press, 2020-05)
    [EN] We extend the notions of mu*- sequences and Tjurina numbers of functions to the framework of Bruce-Roberts numbers, that is, to pairs formed by the germ at 0 of a complex analytic variety X. Cn and a finitely R( ...
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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 ...