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E-book
Author Snapper, Ernst, author

Title Cohomology groups and genera of higher-dimensional fields / by Ernst Snapper
Published Providence, Rhode Island : American Mathematical Society, 1957

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Description 1 online resource (104 pages)
Series Memoirs of the American Mathematical Society ; number 28
Memoirs of the American Mathematical Society ; no. 28.
Contents 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
Bibliography Includes bibliographical references (pages 97-98)
Notes English
Print version record
Subject Homology theory.
Homology theory
Form Electronic book
ISBN 9780821899700
0821899708