Algebraically primitive invariant subvarieties with quadratic field of definition
Dynamical Systems
2024-08-30 v2 Geometric Topology
Abstract
We show that the only algebraically primitive invariant subvarieties of strata of translation surfaces with quadratic field of definition are the decagon, Weierstrass curves, and eigenform loci in genus two and the rank two example in the minimal stratum of genus four translation surfaces discovered by Eskin-McMullen-Mukamel-Wright.
Keywords
Cite
@article{arxiv.2404.10273,
title = {Algebraically primitive invariant subvarieties with quadratic field of definition},
author = {Paul Apisa and David Aulicino},
journal= {arXiv preprint arXiv:2404.10273},
year = {2024}
}
Comments
21 pages, 6 figures. An error was found in Proposition 2.1 that is corrected in this version. The remainder of the paper is unchanged