$q$-de Rham complexes of higher level
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914921770385408 |
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| author | Li, Kimihiko |
| author_facet | Li, Kimihiko |
| contents | In this article, we construct two kinds of de Rham-like complexes which compute the cohomology of complete crystals on the higher-level $q$-crystalline site, which was introduced in a previous article of the author. One complex is the $q$-analog of the higher de Rham complex constructed by Miyatani, and another complex is the $q$-analog of the jet complex constructed by Le Stum-Quirós. The complexes we construct can also be regarded as the higher-level analogs of the $q$-de Rham complex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02057 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $q$-de Rham complexes of higher level Li, Kimihiko Algebraic Geometry Number Theory 14F30, 14F20 In this article, we construct two kinds of de Rham-like complexes which compute the cohomology of complete crystals on the higher-level $q$-crystalline site, which was introduced in a previous article of the author. One complex is the $q$-analog of the higher de Rham complex constructed by Miyatani, and another complex is the $q$-analog of the jet complex constructed by Le Stum-Quirós. The complexes we construct can also be regarded as the higher-level analogs of the $q$-de Rham complex. |
| title | $q$-de Rham complexes of higher level |
| topic | Algebraic Geometry Number Theory 14F30, 14F20 |
| url | https://arxiv.org/abs/2401.02057 |