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Algebraic Cobordism

Name: Algebraic Cobordism
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 05273879
Price: 109.05 EUR
Availability: InStock
Author: Marc Levine
ISBN: 9783540368229

Marc Levine

Fabien Morel

Língua

Inglês

Livro Livro de capa dura

Código Libristo: 05273879

Editoras Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, janeiro 2007

Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented coho... Descrição completa

Código Libristo: 05273879

263 b

109.05 €

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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.