Epimorphic subgroups of algebraic groups
Algebraic Geometry
2017-01-04 v3
Abstract
In this note, we show that the epimorphic subgroups of an algebraic group are exactly the pull-backs of the epimorphic subgroups of its affinization. We also obtain epimorphicity criteria for subgroups of affine algebraic groups, which generalize a result of Bien and Borel. Moreover, we extend the affinization theorem for algebraic groups to homogeneous spaces.
Cite
@article{arxiv.1605.07769,
title = {Epimorphic subgroups of algebraic groups},
author = {Michel Brion},
journal= {arXiv preprint arXiv:1605.07769},
year = {2017}
}
Comments
Final version, accepted for publication at Mathematical Research Letters