Regulators on additive higher Chow groups
Algebraic Geometry
2008-05-28 v3 K-Theory and Homology
Abstract
As an attempt to understand motives over , we define the cubical additive higher Chow groups with modulus for all dimensions extending the works of S. Bloch, H. Esnault and K. R\"ulling on 0-dimensional cycles. We give an explicit construction of regulator maps on the groups of 1-cycles with an aid of the residue theory of A. Parshin and V. Lomadze.
Keywords
Cite
@article{arxiv.math/0605702,
title = {Regulators on additive higher Chow groups},
author = {Jinhyun Park},
journal= {arXiv preprint arXiv:math/0605702},
year = {2008}
}
Comments
17 pages; 2 figures; v2) introduction revised; typos corrected; some notations changed to be more coherent; some remarks corrected; v3) further typos corrected. compactified. a version of this paper to appear in Amer. J. Math