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arXiv · 2502.05022

On a suspension formula for Denef-Loeser zeta functions

E. Artal Bartolo·P. D. González Pérez·M. González Villa·E. León-Cardenal
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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.

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E. Artal Bartolo, P. D. González Pérez, M. González Villa, E. León-Cardenal. 2025-02-07. On a suspension formula for Denef-Loeser zeta functions. https://arxiv.org/abs/2502.05022

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