科研之友
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摘要
Let G be a semi-simple algebraic group over a perfect field k. A lot of progress has been made recently in computing the Chow motives of projective G-homogeneous varieties. When k has positive characteristic, a broader class of G-homogeneous varieties appear. These are varieties over which G acts transitively with possibly non-reduced isotropy subgroups. In this paper we study these varieties which we call projective pseudo-homogeneous varieties for G inner type over k and prove that their motives satisfy Rost nilpotence. We also find their motivic decompositions and relate them to the motives of corresponding homogeneous varieties.
- 出版日期2017-12
