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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.14246 |
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| _version_ | 1866917247283363840 |
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| author | Liu, Zhenmou Yang, Jinbang Zuo, Kang |
| author_facet | Liu, Zhenmou Yang, Jinbang Zuo, Kang |
| contents | In 1989, Faltings proved the comparison theorem between étale cohomology and crystalline cohomology by studying Fontaine-Faltings modules and crystalline representations. In his paper, he mentioned these modules and representations can be extended to the logarithmic context, but without detail. This note aims to explicitly present the construction of logarithmic Fontaine-Faltings modules and logarithmic crystalline representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14246 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Logarithmic Crystalline Representations Liu, Zhenmou Yang, Jinbang Zuo, Kang Algebraic Geometry Representation Theory In 1989, Faltings proved the comparison theorem between étale cohomology and crystalline cohomology by studying Fontaine-Faltings modules and crystalline representations. In his paper, he mentioned these modules and representations can be extended to the logarithmic context, but without detail. This note aims to explicitly present the construction of logarithmic Fontaine-Faltings modules and logarithmic crystalline representations. |
| title | Logarithmic Crystalline Representations |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2504.14246 |