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Lifting involutions to ramified covers of Riemann surfaces

✍ Scribed by A. F. Costa; P. Turbek

Publisher: Springer
Year: 2003
Tongue: English
Weight: 96 KB
Volume: 81
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s00013-003-4709-x

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Let X be a Riemann surface. Two coverings p1 : X → Y1 and p2 : X → Y2 are said to be equivalent if p2 = 'p1 for some conformal homeomorphism ' : Y1 → Y2. In this paper we determine, for each integer g ¿ 2, the maximum number R (g) of inequivalent ramiÿed coverings between compact Riemann surfaces X