Hodge Theory and Complex Algebraic Geometry II - Volume 2

Hodge Theory and Complex Algebraic Geometry II: Volume 2
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Claire Voisin | 2003 | ISBN: 0521718023 | English | 362 pages | PDF | 3 MB

Series: Cambridge Studies in Advanced Mathematics, 77

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.