Product structures in motivic cohomology and higher Chow groups

KONDO S., Yasuda S.

JOURNAL OF PURE AND APPLIED ALGEBRA, cilt.215, sa.4, ss.511-522, 2011 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 215 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.jpaa.2010.06.003
  • Dergi Adı: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.511-522
  • Orta Doğu Teknik Üniversitesi Kuzey Kıbrıs Kampüsü Adresli: Hayır

Özet

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