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arXiv · 1701.02774

Governing singularities of symmetric orbit closures

Alexander Woo·Benjamin Wyser·Alexander Yong
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Abstract

We develop interval pattern avoidance and Mars-Springer ideals to study singularities of symmetric orbit closures in a flag variety. This paper focuses on the case of the Levi subgroup GL_p x GL_q acting on the classical flag variety. We prove that all reasonable singularity properties can be classified in terms of interval patterns of clans.

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Alexander Woo, Benjamin Wyser, Alexander Yong. 2017-01-10. Governing singularities of symmetric orbit closures. https://doi.org/10.2140/ant.2018.12.173

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