Affine Non-Reductive GIT and moduli of representations of quivers with multiplicities
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917635968466944 |
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| author | Hamilton, Eloise Hoskins, Victoria Jackson, Joshua |
| author_facet | Hamilton, Eloise Hoskins, Victoria Jackson, Joshua |
| contents | We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non-Reductive GIT. Our quotients come with explicit projective completions, whose boundaries we interpret in terms of the original action. As an application we construct moduli spaces of semistable representations of quivers with multiplicities subject to certain conditions, which always hold in the toric case for a generic stability condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Affine Non-Reductive GIT and moduli of representations of quivers with multiplicities Hamilton, Eloise Hoskins, Victoria Jackson, Joshua Algebraic Geometry 14L24 and 16G20 (Primary), 14D20 (Secondary) We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non-Reductive GIT. Our quotients come with explicit projective completions, whose boundaries we interpret in terms of the original action. As an application we construct moduli spaces of semistable representations of quivers with multiplicities subject to certain conditions, which always hold in the toric case for a generic stability condition. |
| title | Affine Non-Reductive GIT and moduli of representations of quivers with multiplicities |
| topic | Algebraic Geometry 14L24 and 16G20 (Primary), 14D20 (Secondary) |
| url | https://arxiv.org/abs/2404.06560 |