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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.16254 |
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| _version_ | 1866918393456623616 |
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| author | Ott, Nadia |
| author_facet | Ott, Nadia |
| contents | We apply the supergeometric analogue of Artin's algebraicity criteria to prove algebraicity for four moduli problems in supergeometry: supercurves, super Riemann surfaces, stable supercurves, and stable super Riemann surfaces. The algebraicity of the moduli of (stable) super Riemann surfaces is known but we give a new proof by verifying the super Artin conditions. The algebraicity of the moduli of (stable) supercurves is new. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16254 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Algebraicity of supermoduli of curves via Artin's criteria Ott, Nadia Algebraic Geometry We apply the supergeometric analogue of Artin's algebraicity criteria to prove algebraicity for four moduli problems in supergeometry: supercurves, super Riemann surfaces, stable supercurves, and stable super Riemann surfaces. The algebraicity of the moduli of (stable) super Riemann surfaces is known but we give a new proof by verifying the super Artin conditions. The algebraicity of the moduli of (stable) supercurves is new. |
| title | Algebraicity of supermoduli of curves via Artin's criteria |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.16254 |