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arXiv · 2402.00836

The Primitive Comparison Theorem in characteristic $p$

Ben Heuer
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Abstract

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 K\"unneth formula in this setting.

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Ben Heuer. 2024-02-01. The Primitive Comparison Theorem in characteristic $p$. https://doi.org/10.1007/s00209-024-03613-6

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