Geodesic
Explicit deformation of the horospherical variety of type $\mathrm{G}_2$
Sbornik. Mathematics, Tome 214 (2023) no. 8, pp. 1111-1120

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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.
Keywords: horospherical varieties, smooth degeneration, exceptional collection. 
@article{SM_2023_214_8_a3,
     author = {A. G. Kuznetsov},
     title = {Explicit deformation of the horospherical variety of type $\mathrm{G}_2$},
     journal = {Sbornik. Mathematics},
     pages = {1111--1120},
     publisher = {mathdoc},
     volume = {214},
     number = {8},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2023_214_8_a3/}
}
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A. G. Kuznetsov. Explicit deformation of the horospherical variety of type $\mathrm{G}_2$. Sbornik. Mathematics, Tome 214 (2023) no. 8, pp. 1111-1120. http://geodesic.mathdoc.fr/item/SM_2023_214_8_a3/