Motivic decomposition of compactifications of certain group varieties
Algebraic Geometry
2014-02-25 v1
Abstract
Let D be a central simple algebra of prime degree over a field and let E be an SL_1(D)-torsor. We determine the complete motivic decomposition of certain compactifications of E. We also compute the Chow ring of E.
Keywords
Cite
@article{arxiv.1402.5520,
title = {Motivic decomposition of compactifications of certain group varieties},
author = {Nikita A. Karpenko and Alexander S. Merkurjev},
journal= {arXiv preprint arXiv:1402.5520},
year = {2014}
}
Comments
18 pages