Hodge Theory And Complex Algebraic Geometry vol 2

Informationen zum Autor Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France Klappentext The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry. Zusammenfassung 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. Inhaltsverzeichnis 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.

Produktdetails

• Autoren: Voisin Claire, C. Voisin, Claire Voisin
• Mitarbeit: Leila Schneps (Übersetzung)
• Verlag: Cambridge University Press Academic
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 04.07.2003
• EAN: 9780521802833
• ISBN: 978-0-521-80283-3
• Abmessung: 157 mm x 235 mm x 22 mm
• Serie: Cambridge Studies in Advanced
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Geometrie