Oriented Cohomology Theories of Algebraic Varieties
Oriented Cohomology Theories of Algebraic Varieties
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代数簇的定向上同调理论
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
I. Panin
中科院分区：
文献类型：
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作者：
I. Panin
本文证明了文献[21]中关于代数簇的定向上同调理论的一般性质部分的结果。在给定的环上同调理论上，建立了取向、陈结构和Thom结构之间的一一对应关系。这一理论由动机上同调、代数K-理论、代数上同调理论和其他例子加以说明。数学科目分类：
This article contains proofs of the results announced in [21] in the part concerning general properties of oriented cohomology theories of algebraic varieties. It is constructed one-to-one correspondences between orientations, Chern structures and Thom structures on a given ring cohomology theory. The theory is illustrated by motivic cohomology, algebraic K-theory, algebraic cobordism theory and by other examples. Mathematics Subject Classifications: