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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**Knowl status:**

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

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**History:**(expand/hide all)

- 2021-04-30 11:26:22 by Jennifer Paulhus
- 2021-04-30 11:23:45 by Jennifer Paulhus
- 2018-06-21 23:31:49 by Andrew Sutherland (Reviewed)

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