This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hod
Hodge theory and complex algebraic geometry 2
✍ Scribed by Claire Voisin, Leila Schneps
- Book ID
- 127417931
- Publisher
- Cambridge University Press
- Year
- 2003
- Tongue
- English
- Weight
- 3 MB
- Series
- Cambridge Studies in Adv Math.77
- Category
- Library
- ISBN
- 0511063555
No coin nor oath required. For personal study only.
✦ Synopsis
The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity theorem, which generalizes the above. The last part deals with the relationships between Hodge theory and algebraic cycles. The text is complemented by exercises offering useful results in complex algebraic geometry. Also available: Volume I 0-521-80260-1 Hardback $60.00 C
📜 SIMILAR VOLUMES
This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hod
The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity the
L'ouvrage se situe à l'interface de la géométrie différentielle complexe et de la géométrie algébrique complexe.La première partie du livre présente les résultats fondamentaux de la théorie de Hodge, incluant quelques chapitres préliminaires sur le géométrie kählérienne et la cohomologie des faiscea