Veech fibrations
Geometric Topology
2025-11-18 v3 Algebraic Geometry
Dynamical Systems
Abstract
We investigate complex surfaces that fiber over Teichm\"uller curves where the generic fiber is a Veech surface. When the fiber has genus one, these surfaces are elliptic fibrations; for higher genus fibers, they are typically minimal surfaces of general type. We compute the topological and complex-geometric invariants of these surfaces via the monodromy action on the mod- homology of the fiber. We get exact values of the invariants for all known algebraically primitive Teichm\"uller curves.
Cite
@article{arxiv.2310.02325,
title = {Veech fibrations},
author = {Sam Freedman and Trent Lucas},
journal= {arXiv preprint arXiv:2310.02325},
year = {2025}
}
Comments
41 pages, 8 figures, to appear in Algebraic and Geometric Topology