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AuthorHuber, Roland. author
Titleร{137}tale Cohomology of Rigid Analytic Varieties and Adic Spaces [electronic resource] / by Roland Huber
ImprintWiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag, 1996
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Descript X, 450 p. online resource


The aim of this book is to give an introduction to adic spaces and to develop systematically their รฉtale cohomology. First general properties of the รฉtale 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 รฉtale cohomology of adic spaces are proved: base change theorems, finiteness, Poincarรฉ duality, comparison theorems with the algebraic case


ร{137}tale cohomology of rigid analytic varieties (summary) -- 1 Adic spaces -- 2 The รฉtale site of a rigid analytic variety and an adic space -- 3 Comparison theorems -- 4 Base change theorems -- 5 Cohomology with compact support -- 6 Finiteness -- 7 Poincarรฉ Duality -- 8 Partially proper sites of rigid analytic varieties and adic spaces -- A Appendix -- Index of notations -- Index of terminology

Mathematics Mathematics Mathematics general


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