Isoperiodic meromorphic forms: two simple poles
Algebraic Geometry
2021-09-07 v1 Complex Variables
Dynamical Systems
Abstract
In this paper we prove that isoperiodic moduli spaces of meromorphic differentials with two simple poles on homologically marked smooth curves are non empty and connected, unless they correspond to double covers of on curves of genus at least two. We deduce dynamical consequences for the corresponding isoperiodic foliation.
Keywords
Cite
@article{arxiv.2109.01796,
title = {Isoperiodic meromorphic forms: two simple poles},
author = {Gabriel Calsamiglia and Bertrand Deroin},
journal= {arXiv preprint arXiv:2109.01796},
year = {2021}
}