8 citations · 21 across the 11 of their papers we have counts for
6 papers · 1 filter
On the poles of zeta functions for finite morphisms between normal surfaces
Edwin León-Cardenal, Jorge Martín-Morales, Willem Veys +1
For a divisor representing a function and another divisor representing a differential form on a normal surface singularity, there is a notion of motivic and topological zeta functi…
An algorithm for annihilator and Bernstein-Sato polynomial of a rational function
Manuel González-Villa, Edwin León-Cardenal, Viktor Levandovskyy +1
The singularity theory of rational functions, i.e., the quotient of two polynomials, has been investigated in the past two decades. The Bernstein-Sato polynomial of a rational func…
On a suspension formula for Denef-Loeser zeta functions
E. Artal Bartolo, P. D. González Pérez, M. González Villa +1
Formulas for the topological zeta functions of suspensions by 2 points are due to Artal et al. We generalize these formulas to the motivic level and for arbitrary suspensions, by u…
Archimedean Zeta Functions and Oscillatory Integrals
Edwin León-Cardenal
This note is a short survey of two topics: Archimedean zeta functions and Archimedean oscillatory integrals. We have tried to portray some of the history of the subject and some of…
Motivic Zeta Functions on $\mathds{Q}$-Gorenstein Varieties
Edwin León-Cardenal, Jorge Martín-Morales, Willem Veys +1
We study motivic zeta functions for $\mathds{Q}$-divisors in a $\mathds{Q}$-Gorenstein variety. By using a toric partial resolution of singularities we reduce this study to the loc…
An Explicit Formula for the Local zeta Function of a Laurent Polynomial
Edwin León-Cardenal
In a recent paper Zúñiga-Galindo and the author begun the study of the local zeta functions for Laurent polynomials. In this work we continue this study by giving a very explicit f…