On André periods of mixed Tate motives
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909044567965696 |
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| author | Dan-Cohen, Ishai |
| author_facet | Dan-Cohen, Ishai |
| contents | In this note, we show that the $p$-adic periods of motives introduced recently by Ancona and Frăţilă (``André periods'') reduce to the classically studied notion in the case of Mixed Tate motives. We also connect André periods with Coleman integration by observing that the Frobenius-fixed de Rham paths of Besser and Vologodsky come from motivic paths in characteristic $p$ (unconditionally in the mixed Tate setting, conditionally in general). We use this to realize special values of $p$-adic multiple polylogarithms as André periods in a concrete way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17404 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On André periods of mixed Tate motives Dan-Cohen, Ishai Algebraic Geometry In this note, we show that the $p$-adic periods of motives introduced recently by Ancona and Frăţilă (``André periods'') reduce to the classically studied notion in the case of Mixed Tate motives. We also connect André periods with Coleman integration by observing that the Frobenius-fixed de Rham paths of Besser and Vologodsky come from motivic paths in characteristic $p$ (unconditionally in the mixed Tate setting, conditionally in general). We use this to realize special values of $p$-adic multiple polylogarithms as André periods in a concrete way. |
| title | On André periods of mixed Tate motives |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2502.17404 |