Torus orbit closures in the flag variety

2022/03/31 by Lee, Eunjeong, Masuda, Mikiya, Park, Seonjeong · 2 citations
#14M15 #57S12 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Primary: 14M25 #Secondary: 05A05

paper · doi:10.48550/arxiv.2203.16750

Abstract

The study of torus orbit closures in the (complete) flag variety was initiated by Klyachko and Gelfand--Serganova in the mid-1980s, but it seems that not much has been done since then. In this chapter, we present some of the work by Klyachko and Gelfand--Serganova and our recent work on the topology, geometry, and combinatorics of torus orbit closures in the flag variety.

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• Complexity of the Zero Set of a Matrix Schubert Ideal
• The quasisymmetric flag variety: a toric complex on noncrossing partitions

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