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arXiv · 2603.16254

Algebraicity of supermoduli of curves via Artin's criteria

Nadia Ott
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Abstract

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.

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Nadia Ott. 2026-03-17. Algebraicity of supermoduli of curves via Artin's criteria. https://arxiv.org/abs/2603.16254

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