On orbits of automorphism groups on horospherical varieties
Algebraic Geometry
2021-05-14 v1
Abstract
In this paper we describe orbits of automorphism group on a horospherical variety in terms of degrees of homogeneous with respect to natural grading locally nilpotent derivations. In case of (may be non-normal) toric varieties a description of orbits of automorphism group in terms of corresponding weight monoid is obtained.
Keywords
Cite
@article{arxiv.2105.05897,
title = {On orbits of automorphism groups on horospherical varieties},
author = {Viktoriia Borovik and Sergey Gaifullin and Anton Shafarevich},
journal= {arXiv preprint arXiv:2105.05897},
year = {2021}
}