## Hyperelliptic maps and surfaces.(English)Zbl 0958.05035

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.

### MSC:

 05C10 Planar graphs; geometric and topological aspects of graph theory 30F99 Riemann surfaces
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### References:

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