tale Cohomology of Rigid Analytic Varieties and Adic Spaces

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