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Titlebook: Étale Cohomology of Rigid Analytic Varieties and Adic Spaces; Roland Huber Book 1996 Springer Fachmedien Wiesbaden 1996 Dualität.Endlichke

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F. Klocke,W. König,K. GerschwilerIn this chapter we will define cohomology with compact support for rigid analytic varieties and adic spaces. Let me give a summary of this definition.
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Étale Cohomology of Rigid Analytic Varieties and Adic Spaces978-3-663-09991-8Series ISSN 0179-2156
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Advanced Manufacturing Technologiesthat . is locally of .weakly finite type, separated and taut and dim .tr(.) < ∞, and let . be a natural number. Then there exists a functor .. (., Z/.) → .(.,Z/.) such that, for . ∈ ob.(., Z/.) and . ∈ ob.(., Z/.), there is a functorial isomorphism
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Book 1996tale topos of an adic space are studied, in particular the points and the constructible sheaves of this topos. After this the basic results on the étale cohomology of adic spaces are proved: base change theorems, finiteness, Poincaré duality, comparison theorems with the algebraic case.
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