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Algebraic Cobordism (Springer Monographs in Mathematics) - Softcover

Buch 42 von 187: Springer Monographs in Mathematics

Levine, Marc; Morel, Fabien

 
9783642071911: Algebraic Cobordism (Springer Monographs in Mathematics)
Softcover
ISBN 10: 3642071910 ISBN 13: 9783642071911
Verlag: Springer, 2010

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3642071910
ISBN 13 
9783642071911
Einband
Taschenbuch
Anzahl der Seiten
258
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