Regulators on additive higher Chow groups

Details Regulators on additive higher Chow groups Regulators on additive higher Chow groups

2006-05-27

arxiv.org/abs/math/0605702v3

Mathematics

Algebraic Geometry

17 pages; 2 figures; v2) introduction revised; typos corrected; some notations changed to be more coherent; some remarks corre

Scientific paper

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.

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