topological classification of conformal actions on p-hyperelliptic and (q,n)-gonal riemann surfaces
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ID: 211253
2009
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Abstract
A compact Riemann surface \(X\) of genus \(g \gt 1\) is said to be \(p\)-hyperelliptic if \(X\) admits a conformal involution \(\rho\) for which \(X / \rho\) has genus \(p\). A conformal automorphism \(\delta\) of prime order \(n\) such that \(X / \delta\) has genus \(q\) is called a \((q,n)\)-gonal automorphism. Here we study conformal actions on \(p\)-hyperelliptic Riemann surface with \((q,n)\)-gonal automorphism.
| Reference Key |
tyszkowska2009opusculatopological
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|---|---|
| Authors | ;Ewa Tyszkowska |
| Journal | zhonghua yi xue za zhi |
| Year | 2009 |
| DOI |
http://dx.doi.org/10.7494/OpMath.2009.29.4.443
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