Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CLASSIFICATION OF SMOOTH SCHUBERT VARIETIES IN THE SYMPLECTIC GRASSMANNIANS

  • HONG, JAEHYUN (Department of Mathematical Sciences Seoul National University)
  • Received : 2015.03.08
  • Published : 2015.09.01
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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.

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References

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Cited by

  1. Standard Embeddings of Smooth Schubert Varieties in Rational Homogeneous Manifolds of Picard Number 1 vol.34, pp.3, 2018, https://doi.org/10.1007/s10114-018-7165-z