Johan de Jong and Marius van der Put
Étale Cohomology of Rigid Analytic Spaces
Abstract
The paper serves as an introduction to etale cohomology of rigid analytic spaces. A number of basic results are proved, e.g. concerning cohomological dimension, base change, invariance for change of base fields, the homotopy axiom and comparison for etale cohomology of algebraic varieties. The methods are those of classical rigid analytic geometry and along the way a number of known results on rigid cohomology are re-established.
1991 Mathematics Subject Classification: Primary 26E30, secondary 14F20.