PrIncipal quiver Grassmannians: conjectures
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918242288664576 |
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| author | Fedotov, Stanislav Feigin, Evgeny |
| author_facet | Fedotov, Stanislav Feigin, Evgeny |
| contents | Let $P$ and $I$ be a projective and an injective representations of a Dynkin quiver. We consider quiver Grassmannians of subrepresentations of dimension $\dim P$ inside representations of dimension $\dim P + \dim I$. Based on extensive computer experiments, we formulate several conjectures about the algebro-geometric properties of these quiver Grassmannians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09731 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | PrIncipal quiver Grassmannians: conjectures Fedotov, Stanislav Feigin, Evgeny Algebraic Geometry Representation Theory Let $P$ and $I$ be a projective and an injective representations of a Dynkin quiver. We consider quiver Grassmannians of subrepresentations of dimension $\dim P$ inside representations of dimension $\dim P + \dim I$. Based on extensive computer experiments, we formulate several conjectures about the algebro-geometric properties of these quiver Grassmannians. |
| title | PrIncipal quiver Grassmannians: conjectures |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2512.09731 |