The Primitive Comparison Theorem in characteristic $p$
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910706229575680 |
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| author | Heuer, Ben |
| author_facet | Heuer, Ben |
| contents | We prove an analogue of Scholze's Primitive Comparison Theorem for proper rigid spaces over an algebraically closed non-archimedean field $K$ of characteristic $p$. This implies a v-topological version of the Primitive Comparison Theorem for proper finite type morphisms $f:X\to Y$ of analytic adic spaces over $\mathbb Z_p$. We deduce new cases of the Proper Base Change Theorem for $p$-torsion coefficients and the Künneth formula in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00836 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Primitive Comparison Theorem in characteristic $p$ Heuer, Ben Algebraic Geometry 14G22, 14F30, 14G45 We prove an analogue of Scholze's Primitive Comparison Theorem for proper rigid spaces over an algebraically closed non-archimedean field $K$ of characteristic $p$. This implies a v-topological version of the Primitive Comparison Theorem for proper finite type morphisms $f:X\to Y$ of analytic adic spaces over $\mathbb Z_p$. We deduce new cases of the Proper Base Change Theorem for $p$-torsion coefficients and the Künneth formula in this setting. |
| title | The Primitive Comparison Theorem in characteristic $p$ |
| topic | Algebraic Geometry 14G22, 14F30, 14G45 |
| url | https://arxiv.org/abs/2402.00836 |