Regulators on additive higher Chow groups

dc.creatorPark, Jinhyun
dc.date2006-05-27
dc.date2008-05-28
dc.date.accessioned2026-07-07T09:41:10Z
dc.date.available2026-07-07T09:41:10Z
dc.descriptionAs 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. Rülling 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.
dc.description17 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
dc.identifierhttps://arxiv.org/abs/math/0605702
dc.identifierhttp://arxiv.org/abs/math/0605702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161732
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject14C15; 19D55
dc.titleRegulators on additive higher Chow groups
dc.typetext

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