2 papers
math.CV2025
The affine geometry of meromorphic connections with irregular singularities
Xavier Buff, Arnaud Chéritat, Guillaume Tahar
A meromorphic connection on the tangent bundle of a Riemann surface induces a complex affine structure on the complement of the poles. Local models for Fuchsian singularities are a…
math.DS2025
Conjugacies of geodesic flows in affine cylinders and tori
Xavier Buff, Guillaume Tahar
Affine cylinders (genus zero surfaces with two singularities) and affine tori (genus one surfaces without singularities) are among the simplest examples of surfaces endowed with a…