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Cohomology groups and genera of higher-dimensional fields
About this Title
Ernst Snapper
Publication: Memoirs of the American Mathematical Society
Publication Year:
1957; Number 28
ISBNs: 978-0-8218-1228-0 (print); 978-0-8218-9970-0 (online)
DOI: https://doi.org/10.1090/memo/0028
MathSciNet review: 0095172
Table of Contents
Chapters
- 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