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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.05406 |
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| _version_ | 1866914242632876032 |
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| author | Huang, Ting-Han Kazi, Ananyo Marannino, Luca |
| author_facet | Huang, Ting-Han Kazi, Ananyo Marannino, Luca |
| contents | We generalise the proof of the $p$-adic regulator formula for Asai--Flach classes to the finite slope case, without using finite polynomial cohomology. Moreover, we simplify the analogous computation for diagonal classes, relying on a pullback construction inspired by recent work of Sangiovanni-Vincentelli--Skinner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05406 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New perspectives on $p$-adic regulator formulae Huang, Ting-Han Kazi, Ananyo Marannino, Luca Number Theory 11F67(Primary) 11G40 (Secondary) We generalise the proof of the $p$-adic regulator formula for Asai--Flach classes to the finite slope case, without using finite polynomial cohomology. Moreover, we simplify the analogous computation for diagonal classes, relying on a pullback construction inspired by recent work of Sangiovanni-Vincentelli--Skinner. |
| title | New perspectives on $p$-adic regulator formulae |
| topic | Number Theory 11F67(Primary) 11G40 (Secondary) |
| url | https://arxiv.org/abs/2601.05406 |