Spectral maps associated to semialgebraic branched coverings
arXiv:2001.09104
Abstract
In this article we prove that a semialgebraic map 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.
arXiv commentAccepted for publication in Revista Matemática Complutense