Claire Voisin

Hodge Theory and Complex Algebraic Geometry I

• Broschiertes Buch

Produktbeschreibung

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 334
• Erscheinungstermin: 12. Januar 2011
• Englisch
• Abmessung: 229mm x 152mm x 20mm
• Gewicht: 544g
• ISBN-13: 9780521718011
• ISBN-10: 0521718015
• Artikelnr.: 23498045

Autorenporträt

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

Inhaltsangabe

Introduction
Part I. Preliminaries: 1. Holomorphic functions of many variables
2. Complex manifolds
3. Kähler metrics
4. Sheaves and cohomology
Part II. The Hodge Decomposition: 5. Harmonic forms and cohomology
6. The case of Kähler manifolds
7. Hodge structures and polarisations
8. Holomorphic de Rham complexes and spectral sequences
Part III. Variations of Hodge Structure: 9. Families and deformations
10. Variations of Hodge structure
Part IV. Cycles and Cycle Classes: 11. Hodge classes
12. Deligne-Beilinson cohomology and the Abel-Jacobi map
Bibliography
Index.