컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0248 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (GE) Geometry (GE) |
| 발표시간(Time) | 19th-A-10:00 -- 10:20 |
| 영문제목 (Title(Eng.)) |
Deformation rigidity of the double Cayley Grassmannian |
| 저자(Author(s)) |
Shin-young Kim1, Kyeong-Dong Park2 Yonsei University1, Gyeongsang National University2 |
| 초록본문(Abstract) | 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. |
| 분류기호 (MSC number(s)) |
14M27, 32G05 |
| 키워드(Keyword(s)) | Double Cayley Grassmannian, deformation rigidity, variety of minimal rational tangents, prolongations of a linear Lie algebra |
| 강연 형태 (Language of Session (Talk)) |
English |