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Algebraic Cobordism
Language
English
English
Book
Hardback
Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented coho...
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Libristo code: 05273879
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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.
About the book
Full name
Algebraic Cobordism
Author
Marc Levine, Fabien Morel
Language
English
English
Binding
Book - Hardback
Date of issue
2007
Number of pages
246
EAN
9783540368229
ISBN
3540368221
Libristo code
05273879
Weight
500
Dimensions
163 x 243 x 18
