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Uniruledness of Some Moduli Spaces of Pointed Spin Curves

Published 18 Feb 2025 in math.AG | (2502.13284v1)

Abstract: The moduli space $\mathcal{S}{g, 2n}$ parametrizes pointed curves with spin structure. We prove that $\mathcal{S}{g, 2}$, $\mathcal{S}{g, 4}$ and $\mathcal{S}{g, 6}$ are uniruled for particular values of $g$.

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