The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.
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Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France
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Condition: New. 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. . . . . Seller Inventory # V9780521802833
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Hardcover. Condition: new. Hardcover. The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard-Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. 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 of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry. An account of Kaehlerian geometry and Hodge theory. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521802833