Moving lemma for additive higher Chow groups
Moving lemma for additive higher Chow groups
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附加高级 Chow 群的移动引理
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Jinhyung Park
中科院分区：
文献类型：
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作者：
A. Krishna;Jinhyung Park
研究了具有几个模条件的可加高阶Chow群.除了证明所有已知的关于具有这些模条件的可加Chow群的结果的有效性外，我们还证明了它们的移动引理：对于光滑射影簇X和它的局部闭代数子集的有限集合W，每个可加高阶Chow圈都同余于一个与W次面的所有成员适当相交的容许圈.这是S. Bloch和M.莱文作为应用，我们证明了从拟投射簇到光滑投射簇的任何态射诱导可加高阶Chow群的拉回映射。更重要的应用，这一移动引理来自两个单独的文件的作者。
We study additive higher Chow groups with several modulus conditions. Apart from exhibiting the validity of all known results for the additive Chow groups with these modulus conditions, we prove the moving lemma for them: for a smooth projective variety X and a finite collection W of its locally closed algebraic subsets, every additive higher Chow cycle is congruent to an admissible cycle intersecting properly all members of W times faces. This is the additive analogue of the moving lemma for the higher Chow groups studied by S. Bloch and M. Levine. As an application, we prove that any morphism from a quasi-projective variety to a smooth projective variety induces a pull-back map of additive higher Chow groups. More important applications of this moving lemma are derived in two separate papers by the authors.