Algebraic Cobordism - Couverture souple

Levine, Marc; Morel, Fabien

Couverture souple

ISBN 10 : 3642071910 ISBN 13 : 9783642071911

Editeur : Springer, 2010

Synopsis

Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

A propos du livre

À propos de l'auteur

Voevodsky is one of the founders of the theory and received the Fields medal for his work, and the other authors have all done important work in the subject.

À propos de la quatrième de couverture

Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 3642071910
• ISBN 13: 9783642071911
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 256
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne