DEFORMATION RIGIDITY OF ODD LAGRANGIAN GRASSMANNIANS

被引：4

作者：

Park, Kyeong-Dong ^{[1
,2
]}

机构：

[1] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea

[2] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 03期

关键词：

odd Lagrangian Grassmannian; deformation rigidity; variety of minimal rational tangents; prolongation of a linear Lie algebra; PROJECTIVE VARIETIES; KAHLER DEFORMATION; RATIONAL CURVES; FANO MANIFOLDS; CLASSIFICATION; GEOMETRY; SPACES; ROOT;

D O I：

10.4134/JKMS.j140263

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the rigidity under Kahler deformation of the complex structure of odd Lagrangian Grassmannians, i.e., the Lagrangian case Gr(omega) (n, 2n+1) of odd symplectic Grassmannians. To obtain the global deformation rigidity of the odd Lagrangian Grassmannian, we use results about the automorphism group of this manifold, the Lie algebra of infinitesimal automorphisms of the affine cone of the variety of minimal rational tangents and its prolongations.

引用

页码：489 / 501

页数：13

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