5942406
9780521718028
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.Voisin, Claire is the author of 'Hodge Theory and Complex Algebraic Geometry II, Vol. 2', published 2008 under ISBN 9780521718028 and ISBN 0521718023.
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