Square-tiled surfaces and curves over number fields
Algebraic Geometry
2022-12-16 v1
Abstract
The paper presents an analog of the old result by the author and V. Voevodsky, according to which a Riemann surface admits a conformal structure, defined by an equilateral triangulation, if and only if the corresponding algebraic curve can be defined over the field of the algebraic numbers; the similar result is obtained for the square-tiled surfaces.
Cite
@article{arxiv.2212.07755,
title = {Square-tiled surfaces and curves over number fields},
author = {George B. Shabat},
journal= {arXiv preprint arXiv:2212.07755},
year = {2022}
}