Spectral maps associated to semialgebraic branched coverings
Algebraic Geometry
2020-11-06 v2
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.
Cite
@article{arxiv.2001.09104,
title = {Spectral maps associated to semialgebraic branched coverings},
author = {E. Baro and Jose F. Fernando and J. M. Gamboa},
journal= {arXiv preprint arXiv:2001.09104},
year = {2020}
}
Comments
Accepted for publication in Revista Matem\'atica Complutense