Rost motives, affine varieties, and classifying spaces:

Victor Petrov, Nikita Semenov

Research output

4 Citations (Scopus)

Abstract

In this article we investigate ordinary and equivariant Rost motives. We provide an equivariant motivic decomposition of the variety of full flags of a split semisimple algebraic group G over a field, a motivic decomposition of E/B for a G-torsor E over a smooth base scheme, study torsion subgroup of the Chow group of E/B, define some equivariant Rost motives over a field and some ordinary Rost motives over a general base scheme, and relate equivariant Rost motives with classifying spaces of some algebraic groups.

Original languageEnglish
Pages (from-to)895-918
Number of pages24
JournalJournal of the London Mathematical Society
Volume95
Issue number3
DOIs
Publication statusPublished - 2017

Scopus subject areas

  • Mathematics(all)

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