On a suspension formula for Denef-Loeser zeta functions
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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