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Hodge Theory and Complex Algebraic Geometry II: Volume 2

Posted on 2011-02-15




Name:Hodge Theory and Complex Algebraic Geometry II: Volume 2
ASIN/ISBN:0521802830
Publisher:C U P 2003
Pages:364 Pages
File size:3 Mb
Publisher: C U P 2003
Pages: 364 Pages
ISBN: 0521802830
File Size: 3 MB
Other Info: DJVU
   Hodge Theory and Complex Algebraic Geometry II: Volume 2

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By Claire Voisin, Leila Schneps

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.

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