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

Tiêu đềOn the topology of relative and geometric orbits for actions of algebraic groups over complete fields
Loại công bốJournal Article
Năm xuất bản2013
Tác giảBac, DPhuong, Thǎńg, NQuôć
Tạp chíJournal of Algebra
Thể tích390
Trang181 - 198
ISSN0021-8693
Từ khóaRelative and geometric orbits over complete fields
Tóm tắt

Abstract In this paper, we investigate the problem of closedness of (relative) orbits for the action of algebraic groups on affine varieties defined over complete fields in its relation with the problem of equipping a topology on cohomology groups (sets) and give some applications.

URLhttp://www.sciencedirect.com/science/article/pii/S002186931300286X
DOI10.1016/j.jalgebra.2013.04.040