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Hodge Theory and Complex Algebraic Geometry II: Volume 2: 77 (Cambridge Studies in Advanced Mathematics, Series Number 77) - Hardcover
Synopsis
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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About the Author
Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France
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Hodge Theory and Complex Algebraic Geometry II
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Cambridge University Press, 2003
ISBN 10: 0521802830
ISBN 13: 9780521802833
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Hodge Theory and Complex Algebraic Geometry II
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ISBN 10: 0521802830
ISBN 13: 9780521802833
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Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Cambridge Studies in Advanced Mathematics, Series Number 77)
Published by
Cambridge University Press, 2003
ISBN 10: 0521802830
ISBN 13: 9780521802833
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Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Hardcover)
Published by
Cambridge University Press, Cambridge, 2003
ISBN 10: 0521802830
ISBN 13: 9780521802833
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Seller: CitiRetail, Stevenage, United Kingdom
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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. 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 Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521802833
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Hodge Theory and Complex Algebraic Geometry II: Volume 2
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ISBN 10: 0521802830
ISBN 13: 9780521802833
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Hodge Theory and Complex Algebraic Geometry II: Volume 2
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Hodge Theory and Complex Algebraic Geometry II
Published by
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ISBN 10: 0521802830
ISBN 13: 9780521802833
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Hodge Theory and Complex Algebraic Geometry II
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ISBN 13: 9780521802833
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Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Hardcover)
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Cambridge University Press, Cambridge, 2003
ISBN 10: 0521802830
ISBN 13: 9780521802833
New
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Seller: AussieBookSeller, Truganina, VIC, Australia
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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. 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 Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521802833
Quantity: 1 available
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Hodge Theory and Complex Algebraic Geometry II
Published by
Cambridge University Press, 2003
ISBN 10: 0521802830
ISBN 13: 9780521802833
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Hardcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 1818069
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