Rost motives, affine varieties, and classifying spaces

Petrov, Victor; Semenov, Nikita (2017): Rost motives, affine varieties, and classifying spaces. In: Journal of the London Mathematical Society-Second Series, Vol. 95: pp. 895-918

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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0024-6107
• Language: English