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Given a group of automorphisms $G$ acting on a curve $X/\C$ of genus $g$, with signature $[g_0;m_1, \ldots, m_r]$, the dimension of the family of curves with this signature is $r-3$, where $r$ is the number of branch points of the map $X \to X/G$.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2018-06-21 23:31:49
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