8 citations · 23 across the 10 of their papers we have counts for
12 papers
Log canonical thresholds at infinity
Carles Bivià-Ausina, Alexander Rashkovskii
The paper considers a global version of the notion of log canonical threshold for plurisubharmonic functions of logarithmic growth in , aiming at description of t…
The log canonical threshold of products of ideals and mixed Łojasiewicz exponents
Carles Bivià-Ausina
Given two ideals and of the ring of analytic function germs , we show a sharp lower bound for the log canonical threshold of…
Modules of derivations, logarithmic ideals and singularities of maps on analytic varieties
Carles Bivià-Ausina, Konstantinos Kourliouros, Maria Aparecida Soares Ruas
We introduce the module of derivations attached to a given analytic map and a submodule and analyse sev…
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…
Log canonical threshold and diagonal ideals
Carles Bivià-Ausina
We characterize the ideals of of finite colength whose integral closure is equal to the integral closure of an ideal generated by pure monomials. This characteri…
Mixed Łojasiewicz exponents, log canonical thresholds of ideals and bi-Lipschitz equivalence
Carles Bivià-Ausina, Toshizumi Fukui
We study the Łojasiewicz exponent and the log canonical threshold of ideals of when restricted to generic subspaces of of different dimensions. We obta…
Lojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations
Carles Bivià-Ausina, Santiago Encinas
We give an expression for the Łojasiewicz exponent of a wide class of n-tuples of ideals in using the information given by a fixed Newton filtration. In orde…
The Łojasiewicz exponent of a set of weighted homogeneous ideals
Carles Bivià-Ausina, Santiago Encinas
We give an expression for the Łojasiewicz exponent of a set of ideals which are pieces of a weighted homogeneous filtration. We also study the application of this formula to the co…
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…