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 ...
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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.
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Add this copy of Hodge Theory and Complex Algebraic Geometry II: Volume to cart. $57.56, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2007 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings, Unspecified. Cambridge Studies in Advanced Mathematics . 4 b/w illus. 22 exercises. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Trade paperback (US). 362 p. Cambridge Studies in Advanced Mathematics . Worked examples or Exercises; 4 Line drawings, unspecified. Intended for professional and scholarly audience.
Add this copy of Hodge Theory and Complex Algebraic Geometry II: Volume to cart. $77.26, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2007 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings, Unspecified. Cambridge Studies in Advanced Mathematics . 4 b/w illus. 22 exercises. Intended for professional and scholarly audience.
Add this copy of Hodge Theory and Complex Algebraic Geometry II: Volume to cart. $90.57, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2007 by Cambridge University Press.
Add this copy of Hodge Theory and Complex Algebraic Geometry II: Volume to cart. $129.81, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2007 by Cambridge University Press.
