Higher Chern Classes and Steenrod Operations in Motivic Cohomology, by Oleg Pushin

In this paper we construct the higher Chern classes in motivic cohomology by adopting the well-known approach due to H. Gillet. We compute, under certain assumption, the composite of a motivic reduced power operation with such a class. We use the higher Chern classes to express the motivic algebra of a general linear groupscheme.

Oleg Pushin <olegpushin@pochtamt.ru>