Deformation rigidity of the double Cayley Grassmannian

Autor:	Kim, Shin-young, Park, Kyeong-Dong
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry 14M27 32G05 (Primary) 14M17 32M12 (Secondary)
Druh dokumentu:	Working Paper
Popis:	The double Cayley Grassmannian is a unique smooth equivariant completion with Picard number one of the 14-dimensional exceptional complex Lie group $G_2$, 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. Comment: 10 pages, 2 figures. arXiv admin note: text overlap with arXiv:1905.06490
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.14331 Zobrazit plný text záznamu View this record from Arxiv