\'Etale cohomology of schemes and analytic spaces
Antoine Ducros
TL;DR
This paper provides an overview of étale cohomology theories for schemes and analytic spaces, highlighting their foundational aspects and applications in algebraic geometry.
Contribution
It offers a concise summary of étale cohomology for schemes and analytic spaces, based on a mini-course lecture series.
Findings
Clarifies the relationship between schemes and analytic spaces in étale cohomology
Summarizes key concepts and results in étale cohomology theory
Provides educational insights into advanced algebraic geometry topics
Abstract
Those are notes of a mini-course the author gave in July 2010 at the university Paris 6 (Jussieu) during the summer school of the ANR (Agence nationale de la recherche) BERKO.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology