Hodge Theory and Complex Algebraic Geometry II, Volume 2 / Edition 1

Hodge Theory and Complex Algebraic Geometry II, Volume 2 / Edition 1

by Claire Voisin, Voisin Claire
     
 

ISBN-10: 0521802830

ISBN-13: 9780521802833

Pub. Date: 07/01/2003

Publisher: Cambridge University Press

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…  See more details below

Overview

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

Product Details

ISBN-13:
9780521802833
Publisher:
Cambridge University Press
Publication date:
07/01/2003
Series:
Cambridge Studies in Advanced Mathematics Series, #77
Edition description:
New Edition
Pages:
364
Product dimensions:
5.98(w) x 9.02(h) x 0.94(d)

Related Subjects

Table of Contents

Introduction. Part I. The Topology of Algebraic Varieties: 1. The Lefschetz theorem on hyperplane sections; 2. Lefschetz pencils; 3. Monodromy; 4. The Leray spectral sequence; Part II. Variations of Hodge Structure: 5. Transversality and applications; 6. Hodge filtration of hypersurfaces; 7. Normal functions and infinitesimal invariants; 8. Nori's work; Part III. Algebraic Cycles: 9. Chow groups; 10. Mumford' theorem and its generalisations; 11. The Bloch conjecture and its generalisations; References; Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >