8 citations · 8 across the 3 of their papers we have counts for
6 papers
Automorphism group orbits on horospherical varieties and divisor class group
Sergey Gaifullin
In 2013 Bazhov proved a criterium for two points on a complete toric variety to lie in the same orbit of the neutral component of automorphism group. This criterium is in terms of…
Orbits of automorphism group of trinomial hypersurfaces
Sergey Gaifullin, Georgiy Shirinkin
Trinomial hypersurfaces form a natural class of affine algebraic varieties closely connected with varieties admitting a torus action of complexity one. We investigate orbits of the…
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.…
Automorphisms of nonnormal toric varieties
Ilya Boldyrev, Sergey Gaifullin
In this paper we prove criteria for a nonnormal toric variety to be flexible, to be rigid and to be almost rigid. For rigid and almost rigid toric varieties we describe the automor…
On rigidity of trinomial hypersurfaces and factorial trinomial varieties
Sergey Gaifullin
Trinomial varieties are affine varieties given by some special system of equations consisting of polynomials with three terms. Such varieties are total coordinate spaces of normal…
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…