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Hodge Theory and Complex Algebraic Geometry II by Claire Voisin (English) Paperb
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eBay-Artikelnr.:157050236195
Artikelmerkmale
- Artikelzustand
- ISBN-13
- 9780521718028
- Book Title
- Hodge Theory and Complex Algebraic Geometry II
- ISBN
- 9780521718028
Über dieses Produkt
Product Information
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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-13
9780521718028
eBay Product ID (ePID)
94616294
Product Key Features
Number of Pages
362 Pages
Publication Name
Hodge Theory and Complex Algebraic Geometry II: Volume 2
Language
English
Subject
Mathematics
Publication Year
2007
Type
Textbook
Format
Paperback
Dimensions
Item Height
227 mm
Item Weight
570 g
Item Width
154 mm
Additional Product Features
Country/Region of Manufacture
United Kingdom
Series Title
Cambridge Studies in Advanced Mathematics
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USt-IdNr.: AU 82107909133, GB 293967539
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