Étale cohomology of algebraizable rigid analytic varieties via nearby cycles over general bases
Hiroki Kato
Abstract:We prove a finiteness theorem and a comparison theorem in the theory of étale cohomology of rigid analytic varieties. By a result of Huber, for a quasi-compact separated morphism of rigid analytic varieties with target being of dimension $$\le 1$$
≤
1
, the compactly supported higher direct image preserves quasi-constructibility. Though the analogous statement for morphisms with higher dimensional target fails in general, we pr… Show more
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