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Algebraic Cobordism (Springer Monographs in Mathematics)
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Binding: Hardcover
Dewey Decimal Number: 516
EAN: 9783540368229
Edition: 1
ISBN: 3540368221
Label: Springer
Manufacturer: Springer
Number Of Items: 1
Number Of Pages: 246
Publication Date: February 21, 2007
Publisher: Springer
Studio: Springer
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Editorial Review:
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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