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Hodge Theory and Complex Algebraic Geometry II: Volume 2
Claire Voisin
€ 61.33
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Description for Hodge Theory and Complex Algebraic Geometry II: Volume 2
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.
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 ... Read more
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 ... Read more
Product Details
Publisher
Cambridge University Press
Number of pages
362
Format
Paperback
Publication date
2007
Series
Cambridge Studies in Advanced Mathematics
Condition
New
Number of Pages
362
Place of Publication
Cambridge, United Kingdom
ISBN
9780521718028
SKU
V9780521718028
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
About Claire Voisin
Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France
Reviews for Hodge Theory and Complex Algebraic Geometry II: Volume 2
'All together, the author has maintained her masterly style also throughout this second, much more advanced volume, just as expected. The entire two-volume text is highly instructive, inspiring, reader-friendly and generally outstanding. Without any doubt, these two volumes must be seen as an indispensible standard text on transcendental algebraic geometry for advanced students, teachers, and also researchers in this contemporary ... Read more