期刊全稱 | Algebraic Cobordism | 影響因子2023 | Marc Levine,Fabien Morel | 視頻video | http://file.papertrans.cn/153/152556/152556.mp4 | 發(fā)行地址 | Includes supplementary material: | 學(xué)科分類 | Springer Monographs in Mathematics | 圖書封面 |  | 影響因子 | 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. | Pindex | Book 2007 |
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