%0 Journal Article %A Sendra Pons, Juan Rafael %A Sevilla, David %A Villarino Cabellos, Carlos %T Covering of surfaces parametrized without projective base points %D 2014 %U http://hdl.handle.net/10017/20682 %X We prove that every a ne rational surface, parametrized by means of an a ne rational parametrization without projective base points, can be covered by at most three parametrizations. Moreover, we give explicit formulas for computing the coverings. We provide two di erent approaches: either covering the surface with a surface parametrization plus a curve parametrization plus a point, or with the original parametrization plus two surface reparametrizations of it. %K Rational algebraic surface %K Parametrization coverings %K Base points %K Ciencia %K Matemáticas %K Science %K Mathematics %~ Biblioteca Universidad de Alcala