Breuil-Kisin modules and integral $p$-adic Hodge theory
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| _version_ | 1866912314389692416 |
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| author | Gao, Hui |
| author_facet | Gao, Hui |
| contents | We construct a category of Breuil-Kisin $G_K$-modules to classify integral semi-stable Galois representations. Our theory uses Breuil-Kisin modules and Breuil-Kisin-Fargues modules with Galois actions, and can be regarded as the algebraic avatar of the integral $p$-adic cohomology theories of Bhatt-Morrow-Scholze and Bhatt-Scholze. As a key ingredient, we classify Galois representations that are of finite $E(u)$-height. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_08555 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Breuil-Kisin modules and integral $p$-adic Hodge theory Gao, Hui Number Theory We construct a category of Breuil-Kisin $G_K$-modules to classify integral semi-stable Galois representations. Our theory uses Breuil-Kisin modules and Breuil-Kisin-Fargues modules with Galois actions, and can be regarded as the algebraic avatar of the integral $p$-adic cohomology theories of Bhatt-Morrow-Scholze and Bhatt-Scholze. As a key ingredient, we classify Galois representations that are of finite $E(u)$-height. |
| title | Breuil-Kisin modules and integral $p$-adic Hodge theory |
| topic | Number Theory |
| url | https://arxiv.org/abs/1905.08555 |