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Titlebook: Algebraic Cobordism; Marc Levine,Fabien Morel Book 2007 Springer-Verlag Berlin Heidelberg 2007 Chern class.Chow ring.Cobordism.Homotopy.K-

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发表于 2025-3-21 17:00:38 | 显示全部楼层 |阅读模式
期刊全称Algebraic Cobordism
影响因子2023Marc Levine,Fabien Morel
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发行地址Includes supplementary material:
学科分类Springer Monographs in Mathematics
图书封面Titlebook: Algebraic Cobordism;  Marc Levine,Fabien Morel Book 2007 Springer-Verlag Berlin Heidelberg 2007 Chern class.Chow ring.Cobordism.Homotopy.K-
影响因子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.
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发表于 2025-3-21 22:56:00 | 显示全部楼层
Book 2007over 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 ove
发表于 2025-3-22 01:01:02 | 显示全部楼层
Book 2007r 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.
发表于 2025-3-22 08:19:47 | 显示全部楼层
1439-7382 ordism 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.978-3-642-07191-1978-3-540-36824-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
发表于 2025-3-22 12:16:24 | 显示全部楼层
Algebraic Cobordism978-3-540-36824-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
发表于 2025-3-22 13:09:28 | 显示全部楼层
Marc Levine,Fabien MorelIncludes supplementary material:
发表于 2025-3-22 20:10:53 | 显示全部楼层
Springer Monographs in Mathematicshttp://image.papertrans.cn/a/image/152556.jpg
发表于 2025-3-23 00:47:03 | 显示全部楼层
https://doi.org/10.1007/3-540-36824-8Chern class; Chow ring; Cobordism; Homotopy; K-theory; Oriented cohomology theory; cohomology; cohomology t
发表于 2025-3-23 03:02:40 | 显示全部楼层
978-3-642-07191-1Springer-Verlag Berlin Heidelberg 2007
发表于 2025-3-23 08:43:06 | 显示全部楼层
Beatrice Dernbach,Jonas Schützeneder,Michael Graßlonly if) the classC is “simple.” The “simplicity” ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural “coding” of separable Banach spaces, then we can indeed ?nd a separable space Y which is universal for the class C and sati978-3-642-12152-4978-3-642-12153-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
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