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

TitleOn the topology of relative and geometric orbits for actions of algebraic groups over complete fields
Publication TypeJournal Article
Year of Publication2013
AuthorsBac, DPhuong, Thǎńg, NQuôć
JournalJournal of Algebra
Volume390
Pagination181 - 198
ISSN0021-8693
KeywordsRelative and geometric orbits over complete fields
Abstract

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