Abelian differentials and their periods: the bi-algebraic point of view
Number Theory
2022-02-15 v1 Algebraic Geometry
Geometric Topology
Abstract
We study the transcendence of periods of abelian differentials, both at the arithmetic and functional level, from the point of view of the natural bi-algebraic structure on strata of abelian differentials. We characterise geometrically the arithmetic points, study their distribution, and prove that in many cases the bi-algebraic curves are the linear ones.
Keywords
Cite
@article{arxiv.2202.06031,
title = {Abelian differentials and their periods: the bi-algebraic point of view},
author = {Bruno Klingler and Leonardo A. Lerer},
journal= {arXiv preprint arXiv:2202.06031},
year = {2022}
}