LEADER 02765nam 2200505 450 001 9910828811603321 005 20230328215853.0 010 $a0-8218-9970-8 035 $a(CKB)3360000000463987 035 $a(EBL)3113564 035 $a(SSID)ssj0000973280 035 $a(PQKBManifestationID)11514571 035 $a(PQKBTitleCode)TC0000973280 035 $a(PQKBWorkID)10959282 035 $a(PQKB)10080912 035 $a(MiAaPQ)EBC3113564 035 $a(RPAM)0000000660 035 $a(PPN)195409116 035 $a(EXLCZ)993360000000463987 100 $a20760401d1957 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCohomology groups and genera of higher-dimensional fields /$fErnst Snapper 210 1$aProvidence, R.I. :$cAmerican Mathematical Society,$d1957. 215 $a1 online resource (104 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 28 300 $aDescription based upon print version of record. 311 0 $a0-8218-1228-9 320 $aBibliography: pages 97-98. 327 $a""INTRODUCTION""; ""PART I. TRANSITIVE SYSTEMS OF SHEAVES""; ""1. Direct and inverse limits""; ""2. Regular mappings and sheaf homomorphisms""; ""3. Transitive systems of sheaves and their limits""; ""4. Transitive systems and their cohomology groups""; ""5. Exact sequences of transitive systems""; ""6. Exact cohomology sequences for transitive systems""; ""PART II. THE TRANSITIVE SYSTEM OP PROJECTIVE MODELS""; ""7. The Zariski topology""; ""8. The sheaf of local rings""; ""9. The transitive system of projective models""; ""10. The Riemann manifold"" 327 $a""11. The sheaf of valuation rings, cohomology groups and genera of E"" ""12. The sheaf of valuation rings as limit of the transitive system of projective models""; ""PART III. THE NUMBERS h[sup(q)](E/K)""; ""13. Affine models""; ""14. Affine models under birational transformations""; ""15. Cohomology groups under birational transformations""; ""16. The class Ct""; ""17. Cohomology groups under normalization""; ""18. The geometric genus of E/K""; ""PART IV. COHOMOLOGY GROUPS UNDER PLACES""; ""19. Subvarieties""; ""20. The map induced by a place"" ; ""21. The exact cohomology sequence, associated with a place"" ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$v28. 606 $aHomology theory 615 0$aHomology theory. 700 $aSnapper$b Ernst$f1913-2011$042077 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828811603321 996 $aCohomology groups and genera of higher-dimensional fields$9911418 997 $aUNINA