Let $G$ be a group of automorphisms acting on a compact Riemann surface $X$ of genus $g$, let $(s_1, \ldots, s_n)$ be a generating vector for the action of $G$ on $X$, and let $\mathcal{C}=(C_1, \ldots, C_n)$ be the corresponding vector of conjugacy classes of $G$.
The tuple $(g,G,\mathcal{C})$ is called a refined passport (some authors say that $X$ is of ramification type $(g,G,\mathcal{C})$).
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- Last edited by Andrew Sutherland on 2018-06-21 22:51:49
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- curve.highergenus.aut.braid_equivalence
- curve.highergenus.aut.search_input
- dq.curve.highergenus.aut.label
- lmfdb/higher_genus_w_automorphisms/hgcwa_stats.py (line 25)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-show-family.html (line 33)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-show-passport.html (line 20)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-show-passport.html (line 59)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-show-passport.html (line 74)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-show-passport.html (line 89)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-show-passport.html (line 124)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-show-passport.html (lines 155-159)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-stats.html (line 40)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-stats.html (line 111)
- 2018-06-21 22:51:49 by Andrew Sutherland (Reviewed)