# Singularities of moduli of curves with a universal root

@article{Galeotti2015SingularitiesOM, title={Singularities of moduli of curves with a universal root}, author={Mattia Galeotti}, journal={arXiv: Algebraic Geometry}, year={2015} }

In a series of recent papers, Chiodo, Farkas and Ludwig carry out a deep analysis of the singular locus of the moduli space of stable (twisted) curves with an $\ell$-torsion line bundle. They show that for $\ell\leq 6$ and $\ell\neq 5$ pluricanonical forms extend over any desingularization. This allows to compute the Kodaira dimension without desingularizing, as done by Farkas and Ludwig for $\ell=2$, and by Chiodo, Eisenbud, Farkas and Schreyer for $\ell=3$. Here we treat roots of line bundles…

## 3 Citations

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In a recent paper Chiodo and Farkas described the singular locus and the locus of non-canonical singularities of the moduli space of level curves. In this work we generalize their results to the…

### Moduli of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>G</mml:mi></mml:math>-covers of curves: geometry and singularities

- MathematicsAnnales de l'Institut Fourier
- 2022

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