Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus
Representation Theory
2024-05-07 v1 Rings and Algebras
Abstract
We conceptualize in the paper the linear degenerate symplectic flag varieties as symmetric degenerations within the framework of type 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.
Keywords
Cite
@article{arxiv.2405.02739,
title = {Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus},
author = {Magdalena Boos and Giovanni Cerulli Irelli and Xin Fang and Ghislain Fourier},
journal= {arXiv preprint arXiv:2405.02739},
year = {2024}
}
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23 pages