Hodge Theory and Complex Algebraic Geometry II, Volume 2

Hodge Theory and Complex Algebraic Geometry II, Volume 2

by Claire Voisin
     
 

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.See more details below

Overview

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

Product Details

ISBN-13:
9780521718028
Publisher:
Cambridge University Press
Publication date:
02/28/2008
Series:
Cambridge Studies in Advanced Mathematics Series, #77
Pages:
362
Product dimensions:
5.98(w) x 8.98(h) x 0.79(d)

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.

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