4 citations · 4 across the 4 of their papers we have counts for
5 papers
Bruce-Roberts Numbers and Quasihomogeneous Functions on Analytic Varieties
Carles Bivià-Ausina, Konstantinos Kourliouros, Maria Aparecida Soares Ruas
Given a germ of an analytic variety and a germ of a holomorphic function with a stratified isolated singularity with respect to the logarithmic stratification of , we sh…
Analytic spread and integral closure of integrally decomposable modules
Carles Bivià-Ausina, Jonathan Montaño
We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integr…
The sequence of mixed Łojasiewicz exponents associated to pairs of ideals
Carles Bivià-Ausina
We analyze the sequence of mixed Łojasiewicz exponents attached to any pair of monomial ideals of finite colength of the ring of analytic function germs $…
Mixed Bruce-Roberts numbers
Carles Bivià-Ausina, María Aparecida Soares Ruas
We extend the notion of -sequence and Tjurina number of functions to the framework of Bruce-Roberts numbers, that is, to pairs formed by the germ at of a complex analytic…
Lojasiewicz exponents and resolution of singularities
Carles Bivià-Ausina, Santiago Encinas
We show an effective method to compute the Łojasiewicz exponent of an arbitrary sheaf of ideals of $\OO_X$, where is a non-singular scheme. This method is based on the algorith…