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Science/Engineering Algebraic Cobordism

Posted on 2010-03-16




Name:Science/Engineering Algebraic Cobordism
ASIN/ISBN:3540368221
Language:English
File size:14.6 Mb
Publish Date: 2007
ISBN: 3540368221
Pages: 246 pages
File Type: PDF
File Size: 14,6 MB
Other Info: Springer
   Science/Engineering Algebraic Cobordism

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M. Levine, F. Morel, "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 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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