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Components of moduli spaces of spin curv...
Benzo, Luca...
Components of moduli spaces of spin curves with the expected codimension II by Benzo, Luca ( Author )
Australian National University
07-09-2023
We prove that for all integers $r \geq 2$ and $g \geq \lfloor \frac{r^2+10r+1}{4} \rfloor$ there exists a component of the locus $\mathcal{S}^r_g$ of spin curves with a theta characteristic $L$ such that $h^0(L) \geq r+1$ and $h^0(L)\equiv r+1 (\text{mod} 2)$ which has expected codimension $\binom{r+1}{2}$ inside the moduli space $\mathcal{S}_g$ of spin curves of genus $g$.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1502.05262
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