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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Paperback. Condition: New. 2nd. The 2003 second volume of this 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. Seller Inventory # LU-9780521718028
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Paperback. Condition: new. Paperback. The 2003 second volume of this 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 PicardLefschetz 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 NoetherLefschetz theorems, the generic triviality of the AbelJacobi 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. The 2003 second volume of this self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text includes exercises providing useful results in complex algebraic geometry. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521718028
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Seller: moluna, Greven, Germany
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The 2003 second volume of this self-contained account of Kaehlerian geometry and Hodge theory continues Voisin s study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the . Seller Inventory # 446945558
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Seller: Kennys Bookstore, Olney, MD, U.S.A.
Condition: New. 2008. 1st Edition. Paperback. 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: Cambridge Studies in Advanced Mathematics. Num Pages: 362 pages, 4 b/w illus. 22 exercises. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 230 x 155 x 22. Weight in Grams: 550. Series: Cambridge Studies in Advanced Mathematics. 362 pages, 4 b/w illus. 22 exercises. The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry. Cateogry: (P) Professional & Vocational. BIC Classification: PBMW. Dimension: 229 x 151 x 20. Weight: 596. Translator(s): Schneps, Leila. . . . . . Books ship from the US and Ireland. Seller Inventory # V9780521718028