Abstract
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 language | English (US) |
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Pages (from-to) | 227-272 |
Number of pages | 46 |
Journal | New York Journal of Mathematics |
Volume | 23 |
State | Published - 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.
Keywords
- Discriminant
- Hurwitz number field
- Number field
- Ramification