Product structures in motivic cohomology and higher Chow groups
JOURNAL OF PURE AND APPLIED ALGEBRA, vol.215, no.4, pp.511-522, 2011 (SCI-Expanded, Scopus)
- 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