We characterize the O_{2n} orbits in the flag variety for GL_{2n} with rationally smooth closure via a graph-theoretic criterion. We also give a necessary pattern avoidance criterion for rational smoothness and conjecture its sufficiency.
Closures of K-orbits in the flag variety for SU*(2n)
B_{n-1}-bundles on the flag variety, II
$B_{n-1}$-orbits on the flag variety and the Bruhat graph for $S_{n}\times S_{n}$
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