03486nam 22006615 450 991048099110332120200630031944.03-642-78421-610.1007/978-3-642-78421-7(CKB)3400000000108161(SSID)ssj0000806839(PQKBManifestationID)11431815(PQKBTitleCode)TC0000806839(PQKBWorkID)10754604(PQKB)10369131(DE-He213)978-3-642-78421-7(MiAaPQ)EBC3094977(PPN)238068420(EXLCZ)99340000000010816120121227d1994 u| 0engurnn|008mamaatxtccrIntroduction to Étale Cohomology[electronic resource] /by Günter Tamme1st ed. 1994.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1994.1 online resource (IX, 186 p.) Universitext,0172-5939Translated from German.3-540-57116-7 Includes bibliographical references (pages [179]-181) and index.0. Preliminaries -- §1. Abelian Categories -- §2. Homological Algebra in Abelian Categories -- §3. Inductive Limits -- I. Topologies and Sheaves -- §1. Topologies -- §2. Abelian Presheaves on Topologies -- §3. Abelian,Sheaves on Topologies -- II. Étale Cohomology -- §1. The Étale Site of a Scheme -- §2. The Case X= spec(k) -- §3. Examples of Étale Sheaves -- §4. The Theories of Artin-Schreier and of Kummer -- §5. Stalks of Étale Sheaves -- §6. Strict Localizations -- §7. The Artin Spectral Sequence -- §8. The Decomposition Theorem. Relative Cohomology -- §9. Torsion Sheaves, Locally Constant Sheaves, Constructible Sheaves -- §10. Étale Cohomology of Curves -- §11. General Theorems in Étale Cohomology Theory.Étale Cohomology is one of the most important methods in modern Algebraic Geometry and Number Theory. It has, in the last decades, brought fundamental new insights in arithmetic and algebraic geometric problems with many applications and many important results. The book gives a short and easy introduction into the world of Abelian Categories, Derived Functors, Grothendieck Topologies, Sheaves, General Étale Cohomology, and Étale Cohomology of Curves.Universitext,0172-5939Algebraic geometryAlgebraic topologyK-theoryNumber theoryAlgebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Algebraic Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28019K-Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11086Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Algebraic geometry.Algebraic topology.K-theory.Number theory.Algebraic Geometry.Algebraic Topology.K-Theory.Number Theory.514/.23Tamme Günterauthttp://id.loc.gov/vocabulary/relators/aut350762BOOK9910480991103321Introduction to etale cohomology375943UNINA