@article{a76780e1a4144bdc9962519b82fed961,
title = "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 GLp ×GLq acting on the classical flag variety. We prove that all reasonable singularity properties can be classified in terms of interval patterns of clans.",
keywords = "Flag variety, Interval pattern avoidance, Schubert variety, Symmetric subgroup",
author = "Alexander Woo and Wyser, {Benjamin J.} and Alexander Yong",
note = "Funding Information: We thank Frank Sottile for a conversation years ago about [Woo and Yong 2008] that ultimately led to this project. We thank Michel Brion for many helpful comments and in particular for his suggestion to consider the slices of [Mars and Springer 1998], as well as his assistance with Lemmas 2.3 and 2.6. Woo was supported by NSA grant H98230-13-1-0242 and Simons Collaboration Grant 359792. Wyser was supported by NSF International Research Fellowship 1159045 and hosted by Institut Fourier in Grenoble. Yong was supported by NSF grants DMS 1201595 and DMS 1500691. This work was partially completed while Yong and Woo were visitors at the Fields Institute program on “Combinatorial algebraic geometry”; they thank the organizers and the institute for their hospitality. Publisher Copyright: {\textcopyright} 2018 Mathematical Sciences Publishers.",
year = "2018",
doi = "10.2140/ant.2018.12.173",
language = "English (US)",
volume = "12",
pages = "173--225",
journal = "Algebra and Number Theory",
issn = "1937-0652",
publisher = "Mathematical Sciences Publishers",
number = "1",
}