A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914443552620544 |
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| author | Bilu, Margaret Faisant, Loïs |
| author_facet | Bilu, Margaret Faisant, Loïs |
| contents | We prove a motivic version of the Poisson formula on the adelic points of a split algebraic torus and apply it to the study of the motivic height zeta function of split projective toric varieties, in the context of the motivic Manin-Peyre principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03162 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions Bilu, Margaret Faisant, Loïs Algebraic Geometry Number Theory 14G05, 14H10, 14G40 (14E18, 14J45) We prove a motivic version of the Poisson formula on the adelic points of a split algebraic torus and apply it to the study of the motivic height zeta function of split projective toric varieties, in the context of the motivic Manin-Peyre principle. |
| title | A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions |
| topic | Algebraic Geometry Number Theory 14G05, 14H10, 14G40 (14E18, 14J45) |
| url | https://arxiv.org/abs/2604.03162 |