02765nam 2200505 450 991082881160332120230328215853.00-8218-9970-8(CKB)3360000000463987(EBL)3113564(SSID)ssj0000973280(PQKBManifestationID)11514571(PQKBTitleCode)TC0000973280(PQKBWorkID)10959282(PQKB)10080912(MiAaPQ)EBC3113564(RPAM)0000000660(PPN)195409116(EXLCZ)99336000000046398720760401d1957 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierCohomology groups and genera of higher-dimensional fields /Ernst SnapperProvidence, R.I. :American Mathematical Society,1957.1 online resource (104 pages)Memoirs of the American Mathematical Society ;number 28Description based upon print version of record.0-8218-1228-9 Bibliography: pages 97-98.""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""""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""Memoirs of the American Mathematical Society ;28.Homology theoryHomology theory.Snapper Ernst1913-201142077MiAaPQMiAaPQMiAaPQBOOK9910828811603321Cohomology groups and genera of higher-dimensional fields911418UNINA