Abstract
In this paper we examine hyperelliptic Riemann surfaces which possess an anticonformal automorphism but are not symmetric. We determine that all such surfaces must have a full automorphism group which is either cyclic, or an abelian extension of a cyclic group by ℤ2. We give defining equations for all of these hyperelliptic surfaces and show how they can be constructed by using NEC groups. As a special case, we determine all hyperelliptic surfaces which are pseudo-symmetric but not symmetric.
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Received: 15 November 2001
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Bujalance, E., Turbek, P. Asymmetric and pseudo-symmetric hyperelliptic surfaces. Manuscripta Math. 108, 1–11 (2002). https://doi.org/10.1007/s002290200261
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DOI: https://doi.org/10.1007/s002290200261