Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus
Abstract
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.
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