Where can I find (book, notes, ...) the following result:

Theorem: A hyperelliptic Riemann surface $S$ of genus $g$ with two to one map $f: \longrightarrow \mathbb{P}^1$. Then $S$ is determined completely by the $2g + 2$ branch points of $f$.

Thank you!

  • 1
    $\begingroup$ I feel like this must be somewhere in Hartshorne chapter IV.. $\endgroup$ – Tabes Bridges Dec 18 '17 at 18:51
  • $\begingroup$ I can not find :( $\endgroup$ – Manoel Dec 19 '17 at 19:34

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