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

Authors :
Kuznetsov, Alexander
Publication Year :
2023

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.<br />Comment: 7 pages

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2302.09506
Document Type :
Working Paper