English

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

Geometric Topology 2025-12-10 v2 Algebraic Geometry Dynamical Systems

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 ΩM3(2,2)odd\Omega \mathcal{M}_3(2,2)^{\rm odd}.

Keywords

Cite

@article{arxiv.2510.23333,
  title  = {Intersection theory and Siegel-Veech constants for Prym eigenform loci in $\Omega\mathcal{M}_3(2,2)^{\rm odd}$},
  author = {Duc-Manh Nguyen},
  journal= {arXiv preprint arXiv:2510.23333},
  year   = {2025}
}

Comments

121 pages, 6 figures. Comments welcome