Moduli spaces for $Θ$-strata and non-reductive quotients
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908383363203072 |
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| author | Modin, Ludvig |
| author_facet | Modin, Ludvig |
| contents | We give a new proof of the $\hat{U}$-theorem of Bérczi, Doran, Hawes and Kirwan on the existence of geometric quotients for actions of graded unipotent groups in terms of stacks of filtrations and gradings introduced by Halpern-Leistner. Our proof works over any affine Noetherian base, in particular it simultaneously generalizes the previous results to arbitrary characteristic, actions in families and to general $Θ$-strata. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moduli spaces for $Θ$-strata and non-reductive quotients Modin, Ludvig Algebraic Geometry 14D23, 14D22 We give a new proof of the $\hat{U}$-theorem of Bérczi, Doran, Hawes and Kirwan on the existence of geometric quotients for actions of graded unipotent groups in terms of stacks of filtrations and gradings introduced by Halpern-Leistner. Our proof works over any affine Noetherian base, in particular it simultaneously generalizes the previous results to arbitrary characteristic, actions in families and to general $Θ$-strata. |
| title | Moduli spaces for $Θ$-strata and non-reductive quotients |
| topic | Algebraic Geometry 14D23, 14D22 |
| url | https://arxiv.org/abs/2505.22812 |