A stacky approach to crystals
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866912163878141952 |
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| author | Drinfeld, Vladimir |
| author_facet | Drinfeld, Vladimir |
| contents | Inspired by a theorem of Bhatt-Morrow-Scholze, we develop a stacky approach to crystals and isocrystals on "Frobenius-smooth" schemes over F_p . This class of schemes goes back to Berthelot-Messing and contains all smooth schemes over perfect fields of characteristic p.
To treat isocrystals, we prove some descent theorems for sheaves of Banachian modules, which could be interesting in their own right. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_11853 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | A stacky approach to crystals Drinfeld, Vladimir Algebraic Geometry Number Theory 14F30 Inspired by a theorem of Bhatt-Morrow-Scholze, we develop a stacky approach to crystals and isocrystals on "Frobenius-smooth" schemes over F_p . This class of schemes goes back to Berthelot-Messing and contains all smooth schemes over perfect fields of characteristic p. To treat isocrystals, we prove some descent theorems for sheaves of Banachian modules, which could be interesting in their own right. |
| title | A stacky approach to crystals |
| topic | Algebraic Geometry Number Theory 14F30 |
| url | https://arxiv.org/abs/1810.11853 |