Hodge Theory and Complex Algebraic Geometry II 1st Edition by Claire Voisin, Leila Schneps ISBN 9780521718028 0521718023

Hodge Theory and Complex Algebraic Geometry II 1st Edition by Claire Voisin, Leila Schneps  – Ebook PDF Instant Download/Delivery: 9780521718028, 0521718023
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Product details: 

ISBN 10:  0521718023

ISBN 13: 9780521718028

Author: Claire Voisin, Leila Schneps
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

Table of contents: 

0. Introduction

I. The Topology of Algebraic Varieties

1. The Lefschetz Theorem on Hyperplane Sections

2. Lefschetz Pencils

3. Monodromy

4. The Leray Spectral Sequence

II. Variations of Hodge Structure
5. Transversality and Applications
6. Hodge Filtration of Hypersurfaces
7. Normal Functions and Infinitesimal Invariants
8. Nori’s Work

III. Algebraic Cycles
9. Chow Groups
10. Mumford’s Theorem and its Generalisations
11. The Bloch Conjecture and its Generalisations

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Tags: Claire Voisin, Leila Schneps, Hodge Theory, Complex Algebraic, Geometry II