Algebraic Cobordism (Springer Monographs in Mathematics)
1 edition
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Word Count
61,500 words, Guess
Page Count
246 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL9056731M
- ISBN-139783540368229
- ISBN-103540368221
- OCLC Control Number85804043
- OCLC Control Numberalgebraiccobordi00levi
and 2 more
- Library of Congress Control Number2006936486
- Goodreads6077729
Classifications
- LCCQA612-612.8QA611-614
Description
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.
Subjects
Topics
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