Andradas Heranz, CarlosRecio, TomásSendra, J. RafaelTabera, Luis F.Villarino, Carlos2023-06-192023-06-192014-040938-127910.1007/s00200-014-0215-6https://hdl.handle.net/20.500.14352/33528Let be a computable subfield of the real numbers (for instance, ). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in , can be reparametrized over a real (i.e., embedded in ) finite field extension of . Swung surfaces include, in particular, surfaces of revolution.engjournal articlehttp://link.springer.com/article/10.1007%2Fs00200-014-0215-6http://www.springer.com/restricted access512Swung surfacesRevolution surfacesReal and complex surfacesRational parametrizationUltraquadricsÁlgebra1201 Álgebra