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arXiv · 2001.09104

Spectral maps associated to semialgebraic branched coverings

E. Baro·Jose F. Fernando·J. M. Gamboa
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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.

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E. Baro, Jose F. Fernando, J. M. Gamboa. 2020-01-24. Spectral maps associated to semialgebraic branched coverings. https://arxiv.org/abs/2001.09104

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