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Deformation rigidity of the double Cayley Grassmannian
- Kim, Shin-young;
- Park, Kyeong-Dong
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0초록
The double Cayley Grassmannian is a unique smooth equivariant completion with Picard number one of the 14-dimensional exceptional complex Lie group G2, and it parametrizes eight-dimensional isotropic subalgebras of the complexified bi-octonions. We show the rigidity of the double Cayley Grassmannian under Kähler 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. © 2024
키워드
Deformation rigidity; Double Cayley Grassmannian; Prolongations of a linear Lie algebra; Variety of minimal rational tangents
- 제목
- Deformation rigidity of the double Cayley Grassmannian
- 저자
- Kim, Shin-young; Park, Kyeong-Dong
- 발행일
- 2025-06
- 유형
- Article
- 권
- 99