Motivic p-adic periods of 1-motives
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918167355326464 |
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| author | Sefzig, Felix |
| author_facet | Sefzig, Felix |
| contents | We give an explicit construction of the p-adic de Rham comparison isomorphism for 1-motives. In particular, we prove that our construction recovers the classical de Rham comparison isomorphism and is functorial with respect to morphisms of rigid 1-motives. In the second part, we construct a new ring of motivic p-adic periods using the formalism of rigid analytic motives. Furthermore, we explain the relation between these motivic periods and the periods of the classical p-adic de Rham comparison isomorphism. Finally, we apply our construction to explicitly compute the period pairing for several examples of 1-motives and curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20525 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Motivic p-adic periods of 1-motives Sefzig, Felix Algebraic Geometry We give an explicit construction of the p-adic de Rham comparison isomorphism for 1-motives. In particular, we prove that our construction recovers the classical de Rham comparison isomorphism and is functorial with respect to morphisms of rigid 1-motives. In the second part, we construct a new ring of motivic p-adic periods using the formalism of rigid analytic motives. Furthermore, we explain the relation between these motivic periods and the periods of the classical p-adic de Rham comparison isomorphism. Finally, we apply our construction to explicitly compute the period pairing for several examples of 1-motives and curves. |
| title | Motivic p-adic periods of 1-motives |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.20525 |