RT Journal Article T1 Double Coverings Of Hyperelliptic Real Algebraic Curves A1 Gamboa Mutuberria, José Manuel A1 Bujalance, E. A1 Cirre, F.J. AB We consider double and (possibly) branched coverings : X ! X0 between real algebraic curves where X is hyperelliptic.We are interested in the topology of such coverings and also in describing them in terms of algebraic equations.In this article we completely solve these two problems.We first analyse the topological features and ramification data of such coverings. Second, for each isomorphism class of these coverings we then describe a representative, with defining polynomial equations for X and for X0, a formula for the involution that generates the coveri transformation group, and a rational formula forng the covering projection : X ! X0. PB Elsevier Science SN 0022-4049 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/49927 UL https://hdl.handle.net/20.500.14352/49927 LA eng DS Docta Complutense RD 5 abr 2025