8 citations · 21 across the 11 of their papers we have counts for
12 papers
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…
-pure thresholds and -Volumes of some non principal ideals
Wágner Badilla-Céspedes, Edwin León-Cardenal
We compute the -pure threshold of some non-principal ideals which satisfy a geometric generic condition about their Newton polyhedron. We also contribute some evidence in favor…
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…
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…
Graphs, local zeta functions, Log-Coulomb Gases, and phase transitions at finite temperature
W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Edwin León-Cardenal
We study a log-gas on a network (a finite, simple graph) confined in a bounded subset of a local field (i.e. R, C, Q_{p} the field of p-adic numbers). In this gas, a log-Coulomb in…
A new class of -adic Lipschitz functions and multidimensional Hensel's Lemma
Fausto Bolivar-Barbosa, Edwin León-Cardenal, J. J. Rodríguez-Vega
In this work we study -adic continuous functions in several variables taking values on . We describe the orthonormal van der Put base of these functions and study…
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…
On Archimedean Zeta Functions and Newton Polyhedra
Fuensanta Aroca, Mirna Gómez-Morales, Edwin León-Cardenal
Let be a polynomial function over the complex numbers and let be a smooth function over with compact support. When is non-degenerate with respect to its Ne…
Igusa's Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials
Adriana A. Albarracin-Mantilla, Edwin León-Cardenal
We study the twisted local zeta function associated to a polynomial in two variables with coefficients in a non-Archimedean local field of arbitrary characteristic. Under the hypot…
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…