Étale Cohomology of Schemes and Analytic Spaces
Étale Cohomology of Schemes and Analytic Spaces
Étale cohomology was developed in the scheme-theoretic context by Grothendieck in the 50s and 60s in order to provide a purely algebraic cohomology theory, satisfying the same fundamental properties as the singular cohomology of complex varieties, which was needed for proving the Weil conjectures. For other deep arithmetic reasons (related …