Closures of K-orbits in the flag variety for U(p,q)

Abstract

We classify the GL_p x GL_q-orbits in the flag variety for GL_{p+q} with rationally smooth closure, showing that they are all either already closed or are pullbacks from orbits with smooth closure in a partial flag variety.

arXiv comment4 pages

Cited by in corpus (2)

• Schubert calculus of Richardson varieties stable under spherical Levi subgroups
• Combinatorial results on (1,2,1,2)-avoiding $GL(p,\mathbb{C})\times GL(q,\mathbb{C})$-orbit closures on $GL(p+q,\mathbb{C})/B$