The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry. Translator(s): Schneps, Leila. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B.; Totaro, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 364 pages, 4 b/w illus. 22 exercises. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 24. Weight in Grams: 685. . 2003. hardcover. . . . .

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Bibliographic Details

Title: Hodge Theory and Complex Algebraic Geometry II: Volume 2: 77 (Cambridge Studies in Advanced Mathematics, Series Number 77)
Publisher: Cambridge University Press
Publication Date: 2003
Language: English
ISBN 10: 0521802830
ISBN 13: 9780521802833
Binding: Hardcover
Condition: New

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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

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Claire Voisin is a Professor at the Institut des Hautes �tudes Scientifiques, France

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