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)|
|Number of pages||46|
|Journal||New York Journal of Mathematics|
|State||Published - Mar 2 2017|
Bibliographical noteFunding 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.
- Hurwitz number field
- Number field