Voisin Claire, C. Voisin, Claire Voisin

Hodge Theory and Complex Algebraic Geometry II

Volume 2

• Gebundenes Buch

Produktbeschreibung

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

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 364
• Erscheinungstermin: 31. August 2007
• Englisch
• Abmessung: 235mm x 157mm x 26mm
• Gewicht: 743g
• ISBN-13: 9780521802833
• ISBN-10: 0521802830
• Artikelnr.: 22731817

Autorenporträt

Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France

Inhaltsangabe

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.