Regulators on additive higher Chow groups

• Autores: Jinhyun Park
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 131, Nº 1, 2009, págs. 257-276
• Idioma: inglés
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• Resumen

  • 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