Deformation rigidity of the double Cayley Grassmannian
Algebraic Geometry
2025-06-03 v2
Abstract
The double Cayley Grassmannian is a unique smooth equivariant completion with Picard number one of the 14-dimensional exceptional complex Lie group , and it parametrizes eight-dimensional isotropic subalgebras of the complexified bi-octonions. We show the rigidity of the double Cayley Grassmannian under K\"{a}hler deformations. This means that for any smooth projective family of complex manifolds over a connected base of which one fiber is biholomorphic to the double Cayley Grassmannian, all other fibers are biholomorphic to the double Cayley Grassmannian.
Keywords
Cite
@article{arxiv.2311.14331,
title = {Deformation rigidity of the double Cayley Grassmannian},
author = {Shin-young Kim and Kyeong-Dong Park},
journal= {arXiv preprint arXiv:2311.14331},
year = {2025}
}
Comments
10 pages, 2 figures. arXiv admin note: text overlap with arXiv:1905.06490