Cohomology theories in the moduli of ring stacks
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908596519829504 |
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| author | Lahoti, Dhilan Manam, Deven |
| author_facet | Lahoti, Dhilan Manam, Deven |
| contents | We show that the natural map from the syntomification of a ring $R$ to the stack of $R$-algebra stacks is fully faithful, answering a question of Drinfeld, and we describe its essential image in terms of underlying monoid stacks. We also give similar statements in the characteristic 0 filtered de Rham, $\ell = p$ étale, and Betti settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09582 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomology theories in the moduli of ring stacks Lahoti, Dhilan Manam, Deven Algebraic Geometry Number Theory We show that the natural map from the syntomification of a ring $R$ to the stack of $R$-algebra stacks is fully faithful, answering a question of Drinfeld, and we describe its essential image in terms of underlying monoid stacks. We also give similar statements in the characteristic 0 filtered de Rham, $\ell = p$ étale, and Betti settings. |
| title | Cohomology theories in the moduli of ring stacks |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2510.09582 |