Hyperelliptic maps and surfaces (Q2702748)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperelliptic maps and surfaces |
scientific article |
Statements
13 March 2001
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hyperelliptic map
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regular map
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orientable surface
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Riemann surface
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0.9392806
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0.93361056
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0.92982745
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0.9228858
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Hyperelliptic maps and surfaces (English)
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The author focuses on the relationship between hyperelliptic maps and hyperelliptic Riemann surfaces. It is known that underlying any map \(M\) on an orientable surface, there is a unique Riemann surface \(X(M)\) naturally associated with \(M\). If \(M\) is hyperelliptic then so is \(X(M)\). It is also shown that in the special case when \(M\) is a regular map, the converse holds.
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