Standard Embeddings of Smooth Schubert Varieties in Rational Homogeneous Manifolds of Picard Number 1

被引：0

作者：

Shin-Young Kim

Kyeong-Dong Park

机构：

[1] Masaryk University,Department of Mathematics and Statistics

[2] Institute for Basic Science (IBS),Center for Geometry and Physics

来源：

Acta Mathematica Sinica, English Series | 2018年 / 34卷

关键词：

Smooth Schubert varieties; rational homogeneous manifolds; variety of minimal rational tangents; standard embeddings; Cartan–Fubini extension; 14M15; 32M10; 53C30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 are horospherical varieties. We characterize standard embeddings of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 by means of varieties of minimal rational tangents. In particular, we mainly consider nonhomogeneous smooth Schubert varieties in symplectic Grassmannians and in the 20-dimensional F4-homogeneous manifold associated to a short simple root.

引用

页码：466 / 487

页数：21

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