5 citations · 11 across the 6 of their papers we have counts for
8 papers
A procedure for computing the log canonical threshold of a binomial ideal
Rocío Blanco, Santiago Encinas
We present a procedure for computing the log-canonical threshold of an arbitrary ideal generated by binomials and monomials. The computation of the log canonical threshold is reduc…
Multidegree for bifiltered -modules and hypergeometric systems
Rémi Arcadias
In that paper, we recall the notion of the multidegree for -modules, as exposed in a previous paper, with a slight simplification. A particular emphasis is given on hypergeometr…
Desingularization Algorithms: A Comparison from the Practical Point of View
Rocio Blanco, Anne Frühbis-Krüger
Over the last decade, implementations of several desingularization algorithms have appeared in various contexts. These differ as widely in their methods and in their practical effi…
Desingularization of binomial varieties in arbitrary characteristic. Part II. Combinatorial desingularization algorithm
Rocio Blanco
In this paper we construct a combinatorial algorithm of resolution of singularities for binomial ideals, over a field of arbitrary characteristic. This algorithm is applied to any…
Coefficient and elimination algebras in Resolution of Singularities
Rocío Blanco, Santiago Encinas
We compare some algebras appeared in the recent attempts to prove resolution of singularities in positive characteristic. We also construct an algebra which encodes the same inform…
Desingularization of binomial varieties in arbitrary characteristic. Part I. A new resolution function and their properties
Rocio Blanco
This paper is devoted to give all the technical constructions and definitions that will lead to the construction of an algorithm of resolution of singularities for binomial ideals.…
Embedded desingularization of toric varieties
Rocio Blanco, Santiago Encinas
We present a new method to achieve an embedded desingularization of a toric variety. Let be a regular toric variety defined by a fan and be a toric embedding.…
Complexity of Villamayor's algorithm in the non exceptional monomial case
Rocio Blanco
We study monomial ideals, always locally given by a monomial, like a reasonable first step to estimate in general the number of monoidal transformations of Villamayor's algorithm o…