Explicit deformation of the horospherical variety of type ${\mathrm{G}}_2$

Abstract

We give two simple geometric constructions of a smooth family of projective varieties with central fiber isomorphic to the horospherical variety of type ${\mathrm{G}}_2$ and all other fibers isomorphic to the isotropic orthogonal Grassmannian $\mathrm{OGr}(2,7)$ and discuss briefly the derived category of this family.

arXiv comment7 pages