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Results tagged with rigid-analytic-geometry
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user 13647
rigid analytic varieties, affinoid varieties, strictly convergent power series over non-archimedean fields
2
votes
1
answer
339
views
Modules with connection over $p$-adic laurent series rings
If $X$ is a smooth rigid analytic space over a $p$-adic field $K$ (of characteristic zero), then every coherent $\mathcal{O}_X$-module with integrable connection is locally free. In his paper "Finiten …
- 1,838
13
votes
1
answer
2k
views
Reference for rigid analytic GAGA
I'm looking for a reference for the following result.
Theorem. Let $K$ be a complete, non-archimedean field, and let $X/K$ be a projective scheme, with analytification $X^\mathrm{an}$. Then the analy …
- 1,838
4
votes
1
answer
384
views
Topological and algebraic covering spaces in Berkovich geometry
Let $k$ be a complete, non-archimedean field, and $X$ a Berkovich space over $k$ (as nice as you like, for arguments sake let's say strictly $k$-analytic, good, and geometrically connected). As discus …
- 1,838