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arXiv · 2302.09506

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

Alexander Kuznetsov
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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.

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Alexander Kuznetsov. 2023-02-19. Explicit deformation of the horospherical variety of type $\mathrm{G}_2$. https://arxiv.org/abs/2302.09506

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