Hurwitz-Hecke Invariant Subvarieties
Dynamical Systems
2023-10-24 v1 Algebraic Geometry
Geometric Topology
Abstract
We introduce a construction of affine invariant subvarieties in strata of translation surfaces whose input is purely combinatorial. We then show that this construction can be used to construct the Bouw-Moeller Teichmueller curves and the seven Eskin-McMullen-Mukamel-Wright rank two orbit closures. The construction is based on the theory of Hurwitz spaces and is inspired by work of Delecroix, Rueth, and Wright.
Cite
@article{arxiv.2310.13776,
title = {Hurwitz-Hecke Invariant Subvarieties},
author = {Paul Apisa},
journal= {arXiv preprint arXiv:2310.13776},
year = {2023}
}
Comments
35 pages; comments welcome!