On the topology of relative orbits for actions of algebraic groups over complete fields

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Dao Phuong Bac¹  Nguyen Quoc Thang¹ 

[1] Department of Mathematics, College for Natural Sciences, National University of Hanoi

关键词: Closed orbits;    local fields;    algebraic group actions.;   

DOI  :  10.3792/pjaa.86.133

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We investigate the problem of equipping a topology on cohomology groups (sets) in its relation with the problem of closedness of (relative) orbits for the action of algebraic groups on affine varieties defined over complete, especially $\mathfrak{p}$-adic fields and give some applications.

【 授权许可】

Unknown