A log prismatic-crystalline comparison theorem
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911481935691776 |
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| author | Du, Heng Moon, Yong Suk Shimizu, Koji |
| author_facet | Du, Heng Moon, Yong Suk Shimizu, Koji |
| contents | We show a comparison theorem between log prismatic cohomology and log crystalline cohomology for a $p$-adic formal scheme with semistable reduction. Combined with the prismatic-étale comparison theorem recently proved by Tian, this implies the $C_{\mathrm{st}}$-conjecture in the semistable case with coefficients given by semistable local systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02718 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A log prismatic-crystalline comparison theorem Du, Heng Moon, Yong Suk Shimizu, Koji Number Theory Algebraic Geometry We show a comparison theorem between log prismatic cohomology and log crystalline cohomology for a $p$-adic formal scheme with semistable reduction. Combined with the prismatic-étale comparison theorem recently proved by Tian, this implies the $C_{\mathrm{st}}$-conjecture in the semistable case with coefficients given by semistable local systems. |
| title | A log prismatic-crystalline comparison theorem |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2603.02718 |