Hurwitz Number Fields
Number Theory
2016-08-31 v1
Abstract
The canonical covering maps from Hurwitz varieties to configuration varieties are important in algebraic geometry. The scheme-theoretic fiber above a rational point is commonly connected, in which case it is the spectrum of a Hurwitz number field. We study many examples of such maps and their fibers, finding number fields whose existence contradicts standard mass heuristics.
Keywords
Cite
@article{arxiv.1608.08296,
title = {Hurwitz Number Fields},
author = {David P. Roberts},
journal= {arXiv preprint arXiv:1608.08296},
year = {2016}
}
Comments
An accompanying Mathematica file is available on the author's homepage