Hodge Theory and Complex Algebraic Geometry I: Volume 1 - Couverture rigide

Voisin, Claire

Couverture rigide

ISBN 10 : 0521802601 ISBN 13 : 9780521802604

Editeur : Cambridge University Press, 2002

Synopsis

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic 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: 2002
• Langue: anglais
• ISBN 10: 0521802601
• ISBN 13: 9780521802604
• Reliure: Relié
• Nombre de pages: 336
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France