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Algebraic Cobordism 1st Edition Marc Levine Fabien Morel

Name: Algebraic Cobordism 1st Edition Marc Levine Fabien Morel
SKU: BELL-888492
Price: 31.00 USD
Availability: InStock
Rating: 4.8 (54 reviews)

SKU: BELL-888492

$ 31.00 ~~$ 45.00~~ (-31%)

4.8

54 reviews

Algebraic Cobordism 1st Edition Marc Levine Fabien Morel instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 1.99 MB

Pages: 251

Author: Marc Levine, Fabien Morel

ISBN: 9783540368229, 3540368221

Language: English

Year: 2007

Edition: 1

Product desciption

Algebraic Cobordism 1st Edition Marc Levine Fabien Morel by Marc Levine, Fabien Morel 9783540368229, 3540368221 instant download after payment.

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.