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

被引：0
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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：
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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.
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页码：466 / 487
页数：21
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