Snapper, Ernst.
Cohomology groups and genera of higher-dimensional fields / [electronic resource] by Ernst Snapper. - Providence, R.I. : American Mathematical Society, 1957 - 1 online resource (100 p.) - Memoirs of the American Mathematical Society, v. 28 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 28. .
Includes bibliographical references.
Introduction 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 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 ofE 12. The sheaf of valuation rings as limit of the transitive system of projective models 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 19. Subvarieties 20. The map induced by a place 21. The exact cohomology sequence, associated with a place
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821899700 (online)
Homology theory.
QA3 / .A57 no. 28
Cohomology groups and genera of higher-dimensional fields / [electronic resource] by Ernst Snapper. - Providence, R.I. : American Mathematical Society, 1957 - 1 online resource (100 p.) - Memoirs of the American Mathematical Society, v. 28 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 28. .
Includes bibliographical references.
Introduction 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 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 ofE 12. The sheaf of valuation rings as limit of the transitive system of projective models 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 19. Subvarieties 20. The map induced by a place 21. The exact cohomology sequence, associated with a place
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821899700 (online)
Homology theory.
QA3 / .A57 no. 28