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

Authors
Kim, Shin-Young Park, Kyeong-Dong
Citation
Kim, Shin-young et Park, Kyeong-dong, Standard Embeddings of Smooth Schubert Varieties in Rational Homogeneous Manifolds of Picard Number 1, Acta mathematica Sinica. English series (Print) , 34(3), 2018, pp. 466-487
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
3
Year of publication
2018
Pages
466 - 487
Database
ACNP
SICI code
Abstract
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.