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A compact Riemann surface X of genus g>1 is said to be p-hyperelliptic if X admits a conformal involution ρ, for which X/ρ is an orbifold of genus p. If in addition X is q-hyperelliptic, then we say that X is pq-hyperelliptic. Here we study conformal actions on pq-hyperelliptic Riemann surfaces with central p- and q-hyperelliptic involutions

international journal of mathematics and mathematical sciences

Topological Classification of Conformal Actions on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="E1"><mml:mrow><mml:mi>p</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:math>-Hyperelliptic Riemann Surfaces

Topological Classification of Conformal Actions onpq-Hyperelliptic Riemann Surfaces