On unramified normal coverings of hyperelliptic curves |
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Authors: | Yolanda Fuertes Gabino González-Diez |
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Institution: | Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049, Madrid, Spain |
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Abstract: | It is well known that the number of unramified normal coverings of an irreducible complex algebraic curve C with a group of covering transformations isomorphic to Z2⊕Z2 is (24g−3⋅22g+2)/6. Assume that C is hyperelliptic, say . Horiouchi has given the explicit algebraic equations of the subset of those covers which turn out to be hyperelliptic themselves. There are of this particular type. In this article, we provide algebraic equations for the remaining ones. |
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Keywords: | 14H37 14H45 30F10 |
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