Congruences of first syntomic cohomology groups
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916000074563584 |
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| author | Min, Yu |
| author_facet | Min, Yu |
| contents | Let O_K be the ring of integers of a finite extension K of Q_p. Given two reflexive F-gauges on O_K, we show that for large enough n, the mod p^n-reductions of their first syntomic cohomology groups, which might be regarded as a refinement of local Bloch--Kato Selmer groups, are isomorphic if and only if the mod p^{2n}-reductions of their attached Breuil--Kisin modules with G_K-actions and Nygaard filtrations are isomorphic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09987 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Congruences of first syntomic cohomology groups Min, Yu Number Theory Let O_K be the ring of integers of a finite extension K of Q_p. Given two reflexive F-gauges on O_K, we show that for large enough n, the mod p^n-reductions of their first syntomic cohomology groups, which might be regarded as a refinement of local Bloch--Kato Selmer groups, are isomorphic if and only if the mod p^{2n}-reductions of their attached Breuil--Kisin modules with G_K-actions and Nygaard filtrations are isomorphic. |
| title | Congruences of first syntomic cohomology groups |
| topic | Number Theory |
| url | https://arxiv.org/abs/2605.09987 |