Abstract
In these notes we generalize the following result due to R. Accola: Given a hyperelliptic Riemann surface S of genus g⩽2 and n a non-negative integer, there is a smooth n-sheeted covering , where R is a hyperelliptic Riemann surface. We show that the above result extends to the family of η-hyperelliptic Riemann surfaces as: Given a η-hyperelliptic Riemann surface S of genus g⩽2, a η-hyperelliptic involution τ:S→S and a non-negative integer n, there is a smooth n-sheeted covering
, where R is a
hyperelliptic Riemann surface for which τ lifts as a
-hyperelliptic involution, and
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*Partially supported by project Fondecyt 8970007 and project UTFSM 971223
*Partially supported by project Fondecyt 8970007 and project UTFSM 971223
Notes
*Partially supported by project Fondecyt 8970007 and project UTFSM 971223