On a suspension formula for Denef-Loeser zeta functions
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916603320336384 |
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| author | Bartolo, E. Artal Pérez, P. D. González Villa, M. González León-Cardenal, E. |
| author_facet | Bartolo, E. Artal Pérez, P. D. González Villa, M. González León-Cardenal, E. |
| contents | 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, Lê-Yomdin, and weighted Lê-Yomdin singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05022 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a suspension formula for Denef-Loeser zeta functions Bartolo, E. Artal Pérez, P. D. González Villa, M. González León-Cardenal, E. Algebraic Geometry 14E18, 14G10, 32S25, 32S45, 14B05 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, Lê-Yomdin, and weighted Lê-Yomdin singularities. |
| title | On a suspension formula for Denef-Loeser zeta functions |
| topic | Algebraic Geometry 14E18, 14G10, 32S25, 32S45, 14B05 |
| url | https://arxiv.org/abs/2502.05022 |