The Abel-Jacobi Map for Higher Chow Groups, II
代数几何
2009-11-11 v1
摘要
We explicitly describe cycle-class maps c_H from motivic cohomology to absolute Hodge cohomology, for smooth quasi-projective and (some) proper singular varieties, and compute special cases of the latter. For smooth projective varieties, we also study Hodge-theoretically defined "higher Abel-Jacobi maps" on the kernel of c_H; this leads to new results on nontrivial indecomposable higher Chow cycles in the regulator kernel.
引用
@article{arxiv.math/0611333,
title = {The Abel-Jacobi Map for Higher Chow Groups, II},
author = {Matt Kerr and James D. Lewis},
journal= {arXiv preprint arXiv:math/0611333},
year = {2009}
}
备注
68 pages, 3 figures