Isoperiodic meromorphic forms with at least three simple poles
Algebraic Geometry
2025-08-04 v1 Complex Variables
Dynamical Systems
Abstract
In this paper we prove the connectedness of isoperiodic moduli spaces of meromorphic differentials with at least three simple poles on homologically marked smooth curves whose periods are either not contained in a real line, or not contained in the rational space generated by the peripheral periods. From this topological property we deduce dynamical properties of the underlying foliation in the moduli space meromorphic differentials, by describing leaf closures associated to those spaces.
Cite
@article{arxiv.2508.00099,
title = {Isoperiodic meromorphic forms with at least three simple poles},
author = {Liza Arzhakova and Gabriel Calsamiglia and Bertrand Deroin},
journal= {arXiv preprint arXiv:2508.00099},
year = {2025}
}
Comments
73 pages, 16 figures