Abstract
A compact Riemann surface $X$ of genus $g>1$ is said to be $p$-<i>hyperelliptic</i> if $X$ admits a conformal involution $\varrho$, called a $p$-<i>hyperelliptic involution</i>, for which $X/\varrho$ is an orbifold of genus $p$. If in addition $X$ admits
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