Governing singularities of symmetric orbit closures

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.

47 pages

References in corpus (1)

• Governing Singularities of Schubert Varieties

Cited by in corpus (3)

• Counting Borel Orbits in Symmetric Varieties of Types $BI$ and $CII$
• On pattern avoidance in matchings and involutions
• K-orbit closures and Barbasch-Evens-Magyar varieties