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

Standard Embeddings of Smooth Schubert Varieties in Rational Homogeneous Manifolds of Picard Number 1
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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 F_4- homogeneous manifold associated to a short simple root. 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 F_4- homogeneous manifold associated to a short simple root.
作者 Shin-Young KIM Kyeong-Dong PARK
机构地区 Department of Mathematics and Statistics Center for Geometry and Physics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第3期466-487,共22页 数学学报（英文版）
基金 supported by the National Researcher Program 2010-0020413 of NRF GA17-19437S of Czech Science Foundation(GACR) partially supported by the Simons-Foundation grant 346300 the Polish Government MNi SW 2015-2019 matching fund supported by BK21 PLUS SNU Mathematical Sciences Division IBS-R003-Y1
关键词 Smooth Schubert varieties rational homogeneous manifolds variety of minimal rational tangents standard embeddings Cartan-Fubini extension Smooth Schubert varieties, rational homogeneous manifolds, variety of minimal rational tangents, standard embeddings, Cartan-Fubini extension
分类号 O [理学]
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Acta Mathematica Sinica,English Series
2018年 第3期

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