Hurwitz number fields

David P. Roberts

    Research output: Contribution to journalArticlepeer-review


    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.

    Original languageEnglish (US)
    Pages (from-to)227-272
    Number of pages46
    JournalNew York Journal of Mathematics
    StatePublished - Mar 2 2017

    Bibliographical note

    Funding Information:
    This work was partially supported by the Simons Foundation through grant #209472 and, in its final stages, by the National Science Foundation, through grant DMS-1601350.


    • Discriminant
    • Hurwitz number field
    • Number field
    • Ramification


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