Can I read Pattern Avoidance and Smoothness of Closures for Orbits of a Symmetric Subgroup in the Flag Variety on EtoBox?

Pattern Avoidance and Smoothness of Closures for Orbits of a Symmetric Subgroup in the Flag Variety by McGovern, William M.; Trapa, Peter E. is a scholarly article available to read on EtoBox.

What is Pattern Avoidance and Smoothness of Closures for Orbits of a Symmetric Subgroup in the Flag Variety about?

We give a pattern avoidance criterion to classify the orbits of Sp(p,C) x Sp(q,C) (resp. GL(n,C)) on the flag variety of type C_{p+q} (resp. D_n) with rationally smooth closure. We show that all such orbit closures fiber (with smooth fiber) over a smaller flag variety, and hence are in fact smooth. In addition we prove that the classification is insensitive to isogeny.

Author

McGovern, William M.; Trapa, Peter E.

Published

2009

Language

EN