CLASSIFICATION OF SMOOTH SCHUBERT VARIETIES IN THE SYMPLECTIC GRASSMANNIANS

- Journal title : Journal of the Korean Mathematical Society
- Volume 52, Issue 5, 2015, pp.1109-1122
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2015.52.5.1109

Title & Authors

CLASSIFICATION OF SMOOTH SCHUBERT VARIETIES IN THE SYMPLECTIC GRASSMANNIANS

HONG, JAEHYUN;

HONG, JAEHYUN;

Abstract

A Schubert variety in a rational homogeneous variety G/P is defined by the closure of an orbit of a Borel subgroup B of G. In general, Schubert varieties are singular, and it is an old problem to determine which Schubert varieties are smooth. In this paper, we classify all smooth Schubert varieties in the symplectic Grassmannians.

Keywords

Schubert varieties;symplectic Grassmannians;

Language

English

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