Roberts, David P. Hurwitz number fields. (English) Zbl 1411.11103 New York J. Math. 23, 227-272 (2017). Summary: The canonical covering maps from Hurwitz varieties to configuration varieties are important in algebraic geometry. The schemetheoretic 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. MSC: 11R21 Other number fields Keywords:number field; ramification; discriminant; Hurwitz number field Software:PARI/GP; Mathematica; Magma PDFBibTeX XMLCite \textit{D. P. Roberts}, New York J. Math. 23, 227--272 (2017; Zbl 1411.11103) Full Text: arXiv EMIS