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Algebraic Cobordism

Jezik EngleskiEngleski
Knjiga Tvrdi uvez
Knjiga Algebraic Cobordism Marc Levine
Libristo kod: 05273879
Nakladnici Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, siječanj 2007
Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented coho... Cijeli opis
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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.

Informacije o knjizi

Puni naziv Algebraic Cobordism
Autor Marc Levine, Fabien Morel
Jezik Engleski
Uvez Knjiga - Tvrdi uvez
Datum izdanja 2007
Broj stranica 246
EAN 9783540368229
ISBN 3540368221
Libristo kod 05273879
Nakladnici Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Težina 500
Dimenzije 163 x 243 x 18

Kategorija

Mathematics & Science > Mathematics > Geometry > Algebraic geometry
Mathematics & Science > Mathematics > Topology > Algebraic topology
Mathematics & Science > Mathematics > Algebra
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