Hodge Theory and Complex Algebraic Geometry II Volume 2 [Hardcover]

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.The second volume of this modern and unique account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results of the second part 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 giving useful results in complex algebraic geometry. It will be welcomed by researchers in algebraic and differential geometry.The second volume of this modern and unique account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results of the second part 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 giving useful results in complex algebraic geometry. It will be welcomed by researchers in algebraic and differential geometry.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 CIntroduction. Part I. The Topology of Algebraic VarielS)