Algebraic Geometry over the Complex Numbers

This textbook is a strong addition to existing introductory literature on algebraic geometry. The author's treatment combines the study of algebraic geometry with differential and complex geometry and unifies these subjects using sheaf-theoretic ideas. It is also an ideal text for showing stude...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Arapura, Donu (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Universitext,
Temas:
Algebraic geometry.
Functions of complex variables.
Topology.
Algebraic Geometry.
Several Complex Variables and Analytic Spaces.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1. Plane Curves
  • 2. Manifolds and Varieties via Sheaves
  • 3. More Sheaf Theory
  • 4. Sheaf Cohomology
  • 5. de Rham Cohomoloy of Manifolds
  • 6. Riemann Surfaces
  • 7. Simplicial Methods
  • 8. The Hodge Theorem for Riemann Manifolds
  • 9. Toward Hodge Theory for Complex Manifolds
  • 10. Kahler Manifolds
  • 11. A Little Algebraic Surface Theory
  • 12. Hodge Structures and Homological Methods
  • 13. Topology of Families
  • 14. The Hard Lefschez Theorem
  • 15. Coherent Sheaves
  • 16. Computation of Coherent Sheaves
  • 17. Computation of some Hodge numbers
  • 18. Deformation Invariance of Hodge Numbers
  • 19. Analogies and Conjectures.- References
  • Index.

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