Algebraic Cobordism

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Algebraic Cobordism

Algebraic Cobordism

Name: Algebraic Cobordism
ISBN: 9783540368229

Marc Levine, Fabien Morel

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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.

Categorias:

Mathematics

Ano:

2007

Edição:

Editora:

Springer

Idioma:

english

Páginas:

251

ISBN 10: