The Hurwitz space Picard rank conjecture for $d>g-1$

Abstract

We show the simple Hurwitz space ${\mathcal{H}}_{g,d}$ has trivial rational Picard group for $d>g-1$ and is uniruled for $d>g+1$.

17 pages, 4 figures. Updated to the version to be published

References in corpus (1)

• The moduli space of multi-scale differentials