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arXiv · 1905.04721

On p-adic comparison theorems for rigid analytic varieties, I

Pierre Colmez·Wiesława Nizioł
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Abstract

We compute, in a stable range, the arithmetic p-adic etale cohomology of smooth rigid analytic and dagger varieties (without any assumption on the existence of a nice integral model) in terms of differential forms using syntomic methods. The main technical input is a construction of a Hyodo-Kato cohomology and a Hyodo-Kato isomorphism with de Rham cohomology.

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Pierre Colmez, Wiesława Nizioł. 2019-05-12. On p-adic comparison theorems for rigid analytic varieties, I. https://arxiv.org/abs/1905.04721

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