Claire Voisin (Universite de Paris VI (Pierre et Marie Curie) )

Hodge Theory and Complex Algebraic Geometry II

• Broschiertes Buch

Produktbeschreibung

The 2003 second volume of this self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text includes exercises providing useful results in complex algebraic geometry.

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Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 362
• Erscheinungstermin: 18. Januar 2012
• Englisch
• Abmessung: 229mm x 152mm x 22mm
• Gewicht: 550g
• ISBN-13: 9780521718028
• ISBN-10: 0521718023
• Artikelnr.: 23498668

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.