Author	Huber, Roland. author
Title	รtale Cohomology of Rigid Analytic Varieties and Adic Spaces [electronic resource] / by Roland Huber
Imprint	Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag, 1996
Connect to	http://dx.doi.org/10.1007/978-3-663-09991-8
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

รtale 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

1. Mathematics
2. Mathematics
3. Mathematics
4. general