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 ...
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 ...
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( ...
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 ...