2 papers
math.AG2021
On orbits of automorphism groups on horospherical varieties
Viktoriia Borovik, Sergey Gaifullin, Anton Shafarevich
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.…
math.AG2018
Flexibility of normal affine horospherical varieties
Sergey Gaifullin, Anton Shafarevich
We investigate flexibility of affine varieties with an action of a linear algebraic group. Flexibility of a smooth affine variety with only constant invertible functions and a loca…