English

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

Algebraic Geometry 2023-02-21 v1

Abstract

We give two simple geometric constructions of a smooth family of projective varieties with central fiber isomorphic to the horospherical variety of type G2\mathrm{G}_2 and all other fibers isomorphic to the isotropic orthogonal Grassmannian OGr(2,7)\mathrm{OGr}(2,7) and discuss briefly the derived category of this family.

Keywords

Cite

@article{arxiv.2302.09506,
  title  = {Explicit deformation of the horospherical variety of type $\mathrm{G}_2$},
  author = {Alexander Kuznetsov},
  journal= {arXiv preprint arXiv:2302.09506},
  year   = {2023}
}

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7 pages