2024/05/04 by Boos, Magdalena, Irelli, Giovanni Cerulli, Fang, Xin +1
#14L35 #16Gxx #17B45 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2405.02739
We conceptualize in the paper the linear degenerate symplectic flag varieties as symmetric degenerations within the framework of type A equioriented quivers. First, in the larger context of symmetric degenerations, we give a self-contained proof of the equivalence of different degeneration orders. Furthermore, we investigate the PBW locus: geometric properties of the degenerate varieties in this locus are proved by realizing them from different perspectives.