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arXiv · 2405.02739

Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus

Magdalena Boos·Giovanni Cerulli Irelli·Xin Fang·Ghislain Fourier
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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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Magdalena Boos, Giovanni Cerulli Irelli, Xin Fang, Ghislain Fourier. 2024-05-04. Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus. https://arxiv.org/abs/2405.02739

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