Intersection theory and Siegel-Veech constants for Prym eigenform loci in $\Omega {\mathcal{M}}_3(2,2{)}^{\mathrm{odd}}$

Abstract

We compute the Siegel-Veech constants associated to saddle connections with distinct endpoints on Prym eigenforms for real quadratic orders with non-square discriminant in $\Omega {\mathcal{M}}_3(2,2{)}^{\mathrm{odd}}$.

121 pages, 6 figures. Comments welcome