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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Unramified double coverings of hyperelliptic surfaces. II


Author: H. M. Farkas
Journal: Proc. Amer. Math. Soc. 101 (1987), 470-474
MSC: Primary 30F10; Secondary 14H30
MathSciNet review: 908651
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Abstract: In this note we illustrate how to count the fixed points of a lift of the hyperelliptic involution to a smooth unramified double cover. In this way we obtain a new proof of the assertion that only $ \left( {\begin{array}{*{20}{c}} {2g + 2} \\ 2 \\ \end{array} } \right)$ of the double covers are hyperelliptic and classify the remaining covers in terms of $ \tilde g$-hyperellipticity.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0908651-6
PII: S 0002-9939(1987)0908651-6
Article copyright: © Copyright 1987 American Mathematical Society