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On the Smooth Locus in Flat Linear Degenerations of Flag Varieties

2023/10/26 by Di Trani, Sabino · 1 citation
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2310.17443

Abstract

We use some moment graph techniques, recently introduced by Lanini and Pütz, to provide a combinatorial description of the smooth locus in flat linear degenerations of flag varieties, generalizing a result proved by Cerulli Irelli, Feigin and Reineke for the Feigin degeneration. Moreover, we propose a different combinatorial criterion linking the smoothness at a fixed point to transitive tournaments.

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