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 ...

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 ...

L'objectiu d'aquest text és donar suport a l'aprenentatge dels mètodes de resolució d'alguns tipus d'equacions diferencials. Els temes centrals són les equacions diferencials lineals, la resolució de problemes de valors ...

[EN] We characterize the ideals I of On of finite colength whose integral closure is equal to the integral closure of an ideal generated by pure monomials. This characterization, which is motivated by an inequality proven ...

[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( ...

We obtain a characterisation of the monomial ideals I subset of C[x(1), . . . , x(n)] of finite colength that satisfy the condition e(I) = L-0((1)) (I) . . . L-0((n)) (I), where L-0((1)) (I), . . . , L-0((n)) (I) is the ...

[ES] En el presente trabajo encontramos una primera aproximación a la teoría de singularidades. Comenzando por la definición de germen de aplicación, que resultará sumamente útil puesto que queremos estudiar propiedades ...

[EN] We analyze the sequence L-J*(I) of mixed Lojasiewicz exponents attached to any pair I, J of monomial ideals of finite colength of the ring of analytic function germs ((C-n, 0) -> C. In particular, we obtain a combinatorial ...