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arXiv · 1107.0284

Closures of K-orbits in the flag variety for GL(2n)

William M. McGovern
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Abstract

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.

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William M. McGovern. 2011-07-01. Closures of K-orbits in the flag variety for GL(2n). https://arxiv.org/abs/1107.0284

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