Integral Elements in K-Theory and Products of Modular Curves
Integral Elements in K-Theory and Products of Modular Curves
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K理论中的积分元和模曲线乘积
DOI：
10.1007/978-94-011-4098-0_17
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
A. Scholl
中科院分区：
文献类型：
--
作者：
A. Scholl
在本文的第一部分中，我们使用de Jong的方法的变更，以conucts无条件的“积分”子空间的motivic上同调（与合理的系数）的Chow动机在当地和全球的领域。第二部分研究了Beilinson在两条模曲线乘积的motivic上同调中构造的元素的完整性，完成了文[1]第6节的讨论。
In the first part of this paper we use de Jong’s method of alterations to contruct unconditionally ‘integral’ subspaces of motivic cohomology (with rational coefficients) for Chow motives over local and global fields. In the second part, we investigate the integrality of the elements constructed by Beilinson in the motivic cohomology of the product of two modular curves, completing the discussion in section 6 of his paper [1].