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Hodge Theory and Complex Algebraic Geometry II by Claire Voisin (English) Paperb

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
ISBN-13
9780521718028
Book Title
Hodge Theory and Complex Algebraic Geometry II
ISBN
9780521718028

About this product

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
Author
Claire Voisin
Format
Paperback

Dimensions

Item Height
227 mm
Item Weight
570 g
Item Width
154 mm

Additional Product Features

Country/Region of Manufacture
United Kingdom
Title_Author
Claire Voisin
Series Title
Cambridge Studies in Advanced Mathematics

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VAT number: AU 82107909133, GB 293967539
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