LEADER 03486nam 22006615 450 001 9910480991103321 005 20200630031944.0 010 $a3-642-78421-6 024 7 $a10.1007/978-3-642-78421-7 035 $a(CKB)3400000000108161 035 $a(SSID)ssj0000806839 035 $a(PQKBManifestationID)11431815 035 $a(PQKBTitleCode)TC0000806839 035 $a(PQKBWorkID)10754604 035 $a(PQKB)10369131 035 $a(DE-He213)978-3-642-78421-7 035 $a(MiAaPQ)EBC3094977 035 $a(PPN)238068420 035 $a(EXLCZ)993400000000108161 100 $a20121227d1994 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to Étale Cohomology$b[electronic resource] /$fby Günter Tamme 205 $a1st ed. 1994. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1994. 215 $a1 online resource (IX, 186 p.) 225 1 $aUniversitext,$x0172-5939 300 $aTranslated from German. 311 $a3-540-57116-7 320 $aIncludes bibliographical references (pages [179]-181) and index. 327 $a0. 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. 330 $aÉtale Cohomology is one of the most important methods in modern Algebraic Geometry and Number Theory. It has, in the last decades, brought fundamental new insights in arithmetic and algebraic geometric problems with many applications and many important results. The book gives a short and easy introduction into the world of Abelian Categories, Derived Functors, Grothendieck Topologies, Sheaves, General Étale Cohomology, and Étale Cohomology of Curves. 410 0$aUniversitext,$x0172-5939 606 $aAlgebraic geometry 606 $aAlgebraic topology 606 $aK-theory 606 $aNumber theory 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019 606 $aK-Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11086 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 615 0$aAlgebraic geometry. 615 0$aAlgebraic topology. 615 0$aK-theory. 615 0$aNumber theory. 615 14$aAlgebraic Geometry. 615 24$aAlgebraic Topology. 615 24$aK-Theory. 615 24$aNumber Theory. 676 $a514/.23 700 $aTamme$b Günter$4aut$4http://id.loc.gov/vocabulary/relators/aut$0350762 906 $aBOOK 912 $a9910480991103321 996 $aIntroduction to etale cohomology$9375943 997 $aUNINA