Product structures in motivic cohomology and higher Chow groups

KONDO S., Yasuda S.

JOURNAL OF PURE AND APPLIED ALGEBRA, vol.215, no.4, pp.511-522, 2011 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 215 Issue: 4
  • Publication Date: 2011
  • Doi Number: 10.1016/j.jpaa.2010.06.003
  • Journal Name: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.511-522
  • Middle East Technical University Northern Cyprus Campus Affiliated: No

Abstract

It is shown that the product structures of motivic cohomology groups and of higher Chow groups are compatible under the comparison isomorphism of Voevodsky (2002) [11] This extends the result of Weibel (1999) [14] where he used the comparison isomorphism which assumed that the base field admits resolution of singularities The mod n motivic cohomology groups and product structures in motivic homotopy theory are defined and it is shown that the product structures are compatible under the comparison isomorphisms (C) 2010 Elsevier B V All rights reserved