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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Algebraic Cobordism

Algebraic Cobordism

Morel, Fabien
Levine, Marc

Hardcover

Series: Springer Monographs in Mathematics

AlgebraGeneral MathematicsGeometry

ISBN10: 3540368221
ISBN13: 9783540368229
Publisher: Springer
Published: Jan 9 2007
Pages: 246
Weight: 1.11
Height: 0.77 Width: 6.36 Depth: 9.40
Language: English

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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