On log crystalline higher direct image
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912934281609216 |
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| author | Du, Heng Moon, Yong Suk Shimizu, Koji |
| author_facet | Du, Heng Moon, Yong Suk Shimizu, Koji |
| contents | We define the big crystalline site for a log scheme and prove the basic properties. In particular, we show the boundedness, base change, and perfectness theorems for the crystalline higher direct image of quasi-coherent crystals between fine log schemes. We also introduce the big absolute crystalline sites and discuss the Frobenius isogeny property of the crystalline higher direct image of $F$-isocrystals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00559 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On log crystalline higher direct image Du, Heng Moon, Yong Suk Shimizu, Koji Number Theory Algebraic Geometry We define the big crystalline site for a log scheme and prove the basic properties. In particular, we show the boundedness, base change, and perfectness theorems for the crystalline higher direct image of quasi-coherent crystals between fine log schemes. We also introduce the big absolute crystalline sites and discuss the Frobenius isogeny property of the crystalline higher direct image of $F$-isocrystals. |
| title | On log crystalline higher direct image |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2603.00559 |