Algebraic cobordism II

被引:32
|
作者
Levine, M [1 ]
Morel, F
机构
[1] Northeastern Univ, Dept Math, Boston, MA 02115 USA
[2] Univ Paris 07, Inst Math, F-75251 Paris, France
关键词
D O I
10.1016/S0764-4442(01)01833-X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For any field k of characteristic 0 we prove for algabraic cobordism the analogue of a theorem of Quillen on complex cobordism: the cobordism ring of the ground field is the Lazard ring L and for any smooth k-variety X, the algebraic cobordism ring Omega*(X) is generated as an L-module, by I is an element of Omega (0)(X) and the element of positive degrees. This implies Rost's conjectured degree formula. We also give a relation between the Chow ring, the K-0 of a smooth k-variety X and Omega*(X). (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:815 / 820
页数:6
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