Pattern avoidance and K-orbit closures

We review the various pattern avoidance criteria that have been developed for smoothness and rational smoothness of symmetric subvarieties of flag varieties in the classical cases, including some proofs and giving references for other results.

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Publication Details

Published
2026-05-29
DOI
https://doi.org/10.1201/9781003145127-5
Primary Topic
Advanced Combinatorial Mathematics
Type
preprint
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0.00
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preprint

Pattern avoidance and K-orbit closures

William M. McGovern
Advanced Combinatorial Mathematics
preprint

Pattern avoidance and K-orbit closures

William M. McGovern
preprint en

Abstract

We review the various pattern avoidance criteria that have been developed for smoothness and rational smoothness of symmetric subvarieties of flag varieties in the classical cases, including some proofs and giving references for other results.

Reduced inequalities
Advanced Combinatorial Mathematics
DOIOpen Access PDFOpenAlex
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