Wild and even points in global function fields
Number Theory
2020-10-27 v2
Abstract
We develop a criterion for a point of global function field to be a unique wild point of some self-equivalence of this field. We show that this happens if and only if the class of the point in the Picard group of the field is -divisible. Moreover, given a finite set of points, whose classes are -divisible in the Picard group, we show that there is always a self-equivalence of the field for which this is precisely the set of wild points. Unfortunately, for more than one point this condition is no longer a necessary one.
Cite
@article{arxiv.1501.06168,
title = {Wild and even points in global function fields},
author = {A. Czogała and P. Koprowski and B. Rothkegel},
journal= {arXiv preprint arXiv:1501.06168},
year = {2020}
}
Comments
Updated version coherent in with the published one