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arXiv · 1804.09884

Cyclic covers of Stable curves and their moduli spaces

Binru Li
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Abstract

We study the deformation of $G$-marked stable curves in the case where $G$ is a cyclic group, and construct a parameterizing space for $G$-marked stable curves of a given numerical type. This is then used in order to study the components of the locus of stable curves admitting the action of a cyclic group of non prime order $d$, extending work of F. Catanese in the case where $d$ is prime.

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Binru Li. 2018-04-26. Cyclic covers of Stable curves and their moduli spaces. https://arxiv.org/abs/1804.09884

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