%0 Journal Article
%T Regulators on additive higher Chow groups
%A Jinhyun Park
%J Mathematics
%D 2006
%I arXiv
%X As an attempt to understand motives over $k[x]/(x^m)$, 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.
%U http://arxiv.org/abs/math/0605702v3