Bujalance García, EmilioEtayo Gordejuela, José JavierGamboa Mutuberria, José ManuelGromadzki, G.2023-06-202023-06-202011Bujalance García, E., Etayo Gordejuela, J. J., Gamboa Mutuberria, J. M. & Gromadzki, G. «The Gonality of Riemann Surfaces under Projections by Normal Coverings». Journal of Pure and Applied Algebra, vol. 215, n.o 5, mayo de 2011, pp. 983-88. DOI.org (Crossref), https://doi.org/10.1016/j.jpaa.2010.07.004.0022-404910.1016/j.jpaa.2010.07.004https://hdl.handle.net/20.500.14352/42173A 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 the gonalities 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].engjournal articlehttps//doi.org/10.1016/j.jpaa.2010.07.004http://www.sciencedirect.com/science/article/pii/S0022404910001581restricted access517.547MathematicsAppliedFunciones (Matemáticas)1202 Análisis y Análisis Funcional