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

Abstract

We characterize the Sp_{2n} orbits in the flag variety for SL_{2n} with rationally smooth closure via a pattern avoidance criterion, also showing that the singular and rationally singular loci of such orbit closures coincide.

arXiv comment5 pages

Cited by in corpus (1)

• Combinatorial results on (1,2,1,2)-avoiding $GL(p,\mathbb{C})\times GL(q,\mathbb{C})$-orbit closures on $GL(p+q,\mathbb{C})/B$