2 citations · 2 across the 8 of their papers we have counts for
10 papers
Denef-Loeser zeta functions of suspensions and Lê-Yomdin singularities
Enrique Artal Bartolo, Pedro D. González Pérez, Manuel González Villa +1
The holomorphy conjecture for suspensions of plane curve singularities and the holomorphy and monodromy conjectures for Lê-Yomdin singularities of surfaces are proved. The first pa…
Bernstein-Sato polynomial and related invariants for meromorphic functions
Josep Àlvarez Montaner, Manuel González Villa, Edwin León-Cardenal +1
We develop a theory of Bernstein-Sato polynomials for meromorphic functions and we use it to study the analytic continuation of Archimedian local zeta functions in this setting. We…
On a quadratic form associated with a surface automorphism and its applications to Singularity Theory
Lilia Alanís-López, Enrique Artal Bartolo, Christian Bonatti +3
We study the nilpotent part of a pseudo-periodic automorphism of a real oriented surface with boundary . We associate a quadratic form defined on the first homology…
-thresholds and test ideals of Thom-Sebastiani type polynomials
Manuel González Villa, Delio Jaramillo-Velez, Luis Núñez-Betancourt
We provide a formula for -thresholds of a Thom-Sebastiani type polynomial over a perfect field of prime characteristic. This result extends the formula for the -pure threshol…
Motivic zeta functions and infinite cyclic covers
Manuel Gonzalez Villa, Anatoly Libgober, Laurentiu Maxim
We associate with an infinite cyclic cover of a punctured neighborhood of a simple normal crossing divisor on a complex quasi-projective manifold (assuming certain finiteness condi…
A recursive formula for the motivic Milnor fiber of a plane curve
Manuel González Villa, Gary Kennedy, Lee J. McEwan
We find a recursive formula for the motivic Milnor fiber of an irreducible plane curve, using the notions of a truncation and derived curve. We then apply natural transformations t…