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 students t...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edisyon: | 1st ed. 2012. |
| Seri Bilgileri: | Universitext
|
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebraic geometry over the complex numbers, Donu Arapura, New York, Springer, 2012, 1 vol. (XII-329 p.), Universitext, 978-1-4614-1808-5 • Algebraic geometry over the complex numbers, Donu Arapura, New York, Springer, 2012, 1 vol. (XII-329 p.), Universitext, 978-1-4614-1808-5 • Algebraic Geometry over the Complex Numbers, Texte imprimé, 9781461418108 |
İçindekiler:
- 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