2 citations · 2 across the 8 of their papers we have counts for
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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…
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…
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…
The monodromy conjecture for plane meromorphic germs
Manuel González Villa, Ann Lemahieu
A notion of Milnor fibration for meromorphic functions and the corresponding concepts of monodromy and monodromy zeta function have been introduced in [GZLM1]. In this article we d…
Log canonical thresholds of quasi-ordinary hypersurface singularities
Nero Budur, Pedro D. González-Pérez, Manuel González Villa
The log canonical thresholds of irreducible quasi-ordinary hypersurface singularities are computed, using an explicit list of pole candidates for the motivic zeta function found by…
Motivic Milnor fiber of a quasi-ordinary hypersurface
Pedro Daniel Gonzalez Perez, Manuel González Villa
Let be a germ of complex analytic function at such that its zero level defines an irreducible germ of quasi-ordinary hypersurface . We describe…