%0 Journal Article
%A Bujalance García, Emilio
%A Etayo Gordejuela, José Javier
%A Gamboa Mutuberria, José Manuel
%A Gromadzki, G.
%T The Gonality Of Riemann Surfaces Under Projections By Normal Coverings
%D 2011
%@ 0022-4049
%U https://hdl.handle.net/20.500.14352/42173
%X A compact Riemann surface X of genus g ≥ 2 which can be realized as a q-fold, normal covering of a compact Riemann surface of genus p is said to be (q, p)-gonal. In particular the notion of (2, p)-gonality coincides with p-hyperellipticity and (q, 0)-gonality coincides with ordinary q-gonality.Here we completely determine the relationship between thegonalities of X and Y for an N-fold normal covering X → Y between compact Riemann surfaces X and Y.As a consequence we obtain classical results due to Maclachlan (1971) [5] and Martens (1977) [6].
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