%0 Journal Article %A Baro González, Elías %A Fernando Galván, José Francisco %A Gamboa Mutuberria, José Manuel %T Spectral maps associated to semialgebraic branched coverings %D 2021 %U https://hdl.handle.net/20.500.14352/128236 %X In this article we prove that a semialgebraic map from M to N is a branched covering if and only if its associated spectral map is a branched covering. In addition, such spectral map has a neat behavior with respect to the branching locus, the ramification set and the ramification index. A crucial fact to prove the preceding result is the characterization of the prime ideals whose fibers under the previous spectral map are singletons. %~