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Multiple prime covers of the riemann sphere

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Wootton A.

Open Mathematics

2005

tom 3

nr 2

260-272

A compact Riemann surface X of genus g≥2 which admits a cyclic group of automorphisms C q of prime order q such that X/C q has genus 0 is called a cyclic q-gonal surface. If a q-gonal surface X is also p-gonal for some prime p≠q, then X is called a multiple prime surface. In this paper, we classify all multiple prime surfaces. A consequence of this classification is a proof of the fact that a cyclic q-gonal surface can be cyclic p-gonal for at most one other prime p.

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1 Open Mathematics

1 Wootton A.

1 2005

Wyniki wyszukiwania

Multiple prime covers of the riemann sphere