2017/01/10 by Alexander Woo, Benjamin J. Wyser, Benjamin Wyser +1
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Combinatorics #Finite Group Theory Research #Flag (linear algebra) #Gravitational singularity #Interval (graph theory) #Mathematical analysis #Mathematics #Orbit (dynamics) #Pure mathematics #Singularity #Singularity theory #Statistics #Variety (cybernetics) #math.AG #math.CO
paper · pdf · doi:10.2140/ant.2018.12.173
published as Alg. Number Th. 12 (2018) 173-225 · 47 pages
arxiv created 2017/01/10 · openalex publication_date 2018/03/13 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 [math] acting on the classical flag variety. We prove that all reasonable singularity properties can be classified in terms of interval patterns of clans.