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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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참고문헌 (10)
참고문헌 신청
I. A. Mihai / 2007 / Odd symplectic manifolds / Transformation Groups 12 (3) : 573 ~ 599
J. Hong / 2010 / Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds / J. Different
J. Hong / 2011 / Characterization of standard embeddings between rational homogeneous manifolds of Picard number 1 / Int. Math. Res. Not 2011 (10) : 2351 ~ 2373
J. Hong / 2013 / Characterization of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 / J. Algebraic Geom 22 (2) : 333 ~ 362
J.-M. Hwang / 1998 / Rigidity of irreducible Hermitian symmetric spaces of the compact type under K¨ahler deformation / Invent. Math 131 (2) : 393 ~ 418
J. Hong / 2010 / Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds / J. Different
J. Hong / 2011 / Characterization of standard embeddings between rational homogeneous manifolds of Picard number 1 / Int. Math. Res. Not 2011 (10) : 2351 ~ 2373
J. Hong / 2013 / Characterization of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 / J. Algebraic Geom 22 (2) : 333 ~ 362
J.-M. Hwang / 1998 / Rigidity of irreducible Hermitian symmetric spaces of the compact type under K¨ahler deformation / Invent. Math 131 (2) : 393 ~ 418
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