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arXiv · 1608.08296

Hurwitz Number Fields

David P. Roberts
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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.

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David P. Roberts. 2016-08-30. Hurwitz Number Fields. https://arxiv.org/abs/1608.08296

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