Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866908978604146688 |
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| author | Liu, Yuanmin |
| author_facet | Liu, Yuanmin |
| contents | We prove the semistable reduction theorem for $\mathcal{E}^†_K$-valued and $K$-valued overconvergent $F$-isocrystals over $k((t))$-varieties which were introduced by Lazda and Pál. As an application, we prove the finite dimensionality of $\mathcal{E}^†_K$-valued rigid cohomology with compact support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17799 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields Liu, Yuanmin Number Theory Algebraic Geometry We prove the semistable reduction theorem for $\mathcal{E}^†_K$-valued and $K$-valued overconvergent $F$-isocrystals over $k((t))$-varieties which were introduced by Lazda and Pál. As an application, we prove the finite dimensionality of $\mathcal{E}^†_K$-valued rigid cohomology with compact support. |
| title | Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2604.17799 |