Cohomology groups and genera of higher-dimensional fields /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Snapper, Ernst (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1957.
Colección:Memoirs of the American Mathematical Society ; no. 28.
Temas:
Homology theory.
Homologie.
Homology theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

Ejemplares similares