2005 / December Volume 32 No.4
Topological classification of conformal actions on 2-hyperelliptic Riemann surfaces
| Published Date |
2005 / December
|
|---|---|
| Title | Topological classification of conformal actions on 2-hyperelliptic Riemann surfaces |
| Author | |
| Keyword | |
| Download | |
| Pagination | 345-368 |
| Abstract | A compact Riemann surface $X$ of genus $g > 1$
is said to be $p$-hyperelliptic if $X$ admits a conformal involution for which $X/\rho$ is an orbifold of genus $p$. Here we classify conformal actions on 2-hyperelliptic Rieman surfaces of genus $g > 9$, up to topological conjugacy and determine which of them can be
maximal.
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| AMS Subject Classification |
30F20, 30F50, 14H37, 20H30, 20H10
|
| Received |
2004-11-19
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