On orbits of automorphism groups on horospherical varieties

2021/05/12 by Viktoriia Borovik, Borovik, Viktoriia, Sergey Gaifullin +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2105.05897

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.

Cited by

• Flexibility of affine spherical varieties
• Flexibility criterion for affine horospherical varieties

Related

• Automorphism group orbits on horospherical varieties and divisor class group
• Smooth projective horospherical varieties with Picard number 1
• Orbits of automorphism group of trinomial hypersurfaces
• Varieties with a torus action of complexity one having a finite number of automorphism group orbits
• Fano horospherical variety