On a suspension formula for Denef-Loeser zeta functions
Algebraic Geometry
2025-02-10 v1
Abstract
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 using a stratification principle and classical techniques of generating functions in toric geometry. The same strategy is used to obtain formulas for the motivic zeta functions of some families of non-isolated singularities related to superisolated, L\^e-Yomdin, and weighted L\^e-Yomdin singularities.
Keywords
Cite
@article{arxiv.2502.05022,
title = {On a suspension formula for Denef-Loeser zeta functions},
author = {E. Artal Bartolo and P. D. González Pérez and M. González Villa and E. León-Cardenal},
journal= {arXiv preprint arXiv:2502.05022},
year = {2025}
}