Algebraic Cobordism

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 theo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Levine, Marc (Autor), Morel, Fabien (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Springer Monographs in Mathematics,
Temas:
Algebraic topology.
Topology.
Algebraic geometry.
Commutative algebra.
Commutative rings.
K-theory.
Algebraic Topology.
Algebraic Geometry.
Commutative Rings and Algebras.
K-Theory.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XII, 246 p. online resource.
ISBN:9783540368243
ISSN:2196-9922

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