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.
Publié le : 2010-08-15
Classification:
Closed orbits,
local fields,
algebraic group actions,
14L24,
14L30,
20G15
@article{1286198322,
author = {Bac, Dao Phuong and Thang, Nguyen Quoc},
title = {On the topology of relative orbits for actions of algebraic groups over complete fields},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {86},
number = {1},
year = {2010},
pages = { 133-138},
language = {en},
url = {http://dml.mathdoc.fr/item/1286198322}
}
Bac, Dao Phuong; Thang, Nguyen Quoc. On the topology of relative orbits for actions of algebraic groups over complete fields. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp. 133-138. http://gdmltest.u-ga.fr/item/1286198322/