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The Hodge Theory Of Projective Manifolds.
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to Khler, to complex projective ma...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Singapore :
World Scientific,
2007.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Preface; Contents; 1. Calculus on smooth manifolds; 2. The Hodge theory of a smooth, oriented, compact Riemannian manifold; 3. Complex manifolds; 4. Hermitean linear algebra; 5. The Hodge theory of Hermitean manifolds; 6. K ahler manifolds; 7. The Hard Lefschetz Theorem and the Hodge-Riemann Bilinear Relations; 8. Mixed Hodge structures, semi-simplicity and approximability; Bibliography; Index.