10 citations · 11 across the 3 of their papers we have counts for
8 papers · 1 filter
Monodromy conjecture for semi-quasihomogeneous hypersurfaces
Guillem Blanco, Nero Budur, Robin van der Veer
We give a proof the monodromy conjecture relating the poles of motivic zeta functions with roots of b-functions for isolated quasihomogeneous hypersurfaces, and more generally for…
An algorithm for Hodge ideals
Guillem Blanco
We present an algorithm to compute the Hodge ideals of -divisors associated to any reduced effective divisor . The computation of the Hodge ideals is based on an alg…
Yano's conjecture
Guillem Blanco
We present a proof of a conjecture proposed by T. Yano about the generic -exponents of irreducible plane curve singularities.
The minimal Tjurina number of irreducible germs of plane curve singularities
Maria Alberich-Carramiñana, Patricio Almirón, Guillem Blanco +1
In this paper we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and the Tjurina numbers for any irreducible germ of plane curve sing…
A note on a question of Dimca and Greuel
Patricio Almirón, Guillem Blanco
In this note we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and Tjurina numbers of an isolated plane curve singularity in the cas…
Poles of the complex zeta function of a plane curve
Guillem Blanco
We study the poles and residues of the complex zeta function of a plane curve. We prove that most non-rupture divisors do not contribute to poles of or roots of the…
Monomial generators of complete planar ideals
Maria Alberich-Carramiñana, Josep Alvarez Montaner, Guillem Blanco
We provide an algorithm that computes a set of generators for any complete ideal in a smooth complex surface. More interestingly, these generators admit a presentation as monomials…
Effective computation of base points of ideals in two-dimensional local rings
Maria Alberich-Carramiñana, Josep Alvarez Montaner, Guillem Blanco
In this work we describe a minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators.