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

doi:10.4213/sm9897e

Alexander Gennad'evich Kuznetsov

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

Algebra and Number Theory

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 $\operatorname{OGr}(2,7)$, and we discuss briefly the derived category of this family. Bibliography: 8 titles.

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

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