2 papers
math.AG2026
On the poles of zeta functions for finite morphisms between normal surfaces
Edwin León-Cardenal, Jorge MartÃn-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…
math.AG2025
Birational zeta functions
Tom Biesbrouck, Nero Budur, Johannes Nicaise +1
We define a birational analog of the motivic zeta function of a reduced polynomial in terms of minimal models. It admits an intrinsic meaning in terms of contact loci of arcs, an a…