Hodge Theory and Complex Algebraic Geometry II - Couverture souple

Voisin, Claire

Couverture souple

ISBN 10 : 0521718023 ISBN 13 : 9780521718028

Editeur : Cambridge University Press, 2007

Synopsis

The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part 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 of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.

A propos du livre

À propos de l'auteur

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

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 0521718023
• ISBN 13: 9780521718028
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 362
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France