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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.02739 |
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| _version_ | 1866929335549558784 |
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| author | Boos, Magdalena Irelli, Giovanni Cerulli Fang, Xin Fourier, Ghislain |
| author_facet | Boos, Magdalena Irelli, Giovanni Cerulli Fang, Xin Fourier, Ghislain |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02739 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus Boos, Magdalena Irelli, Giovanni Cerulli Fang, Xin Fourier, Ghislain Representation Theory Rings and Algebras 16Gxx, 14L35, 17B45 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. |
| title | Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus |
| topic | Representation Theory Rings and Algebras 16Gxx, 14L35, 17B45 |
| url | https://arxiv.org/abs/2405.02739 |