Automorphism groups of almost homogeneous varieties
Algebraic Geometry
2019-11-21 v2
Abstract
Consider a smooth connected algebraic group acting on a normal projective variety with an open dense orbit. We show that Aut() is a linear algebraic group if so is ; for an arbitrary , the group of components of Aut() is arithmetic. Along the way, we obtain a restrictive condition for to be the full automorphism group of some normal projective variety.
Cite
@article{arxiv.1810.09115,
title = {Automorphism groups of almost homogeneous varieties},
author = {Michel Brion},
journal= {arXiv preprint arXiv:1810.09115},
year = {2019}
}
Comments
Revised version, substantial changes in Section 2. To appear in a volume in honor of Bill Fulton