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

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 $\Omega \mathcal{M}_3(2,2)^{\rm odd}$.