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.DG2023
Hybrid connections on Hessian manifolds
Arnaud Chéritat, Guillaume Tahar
We introduce a new class of affine connections on Hessian manifolds, called hybrid connections, characterized by the compatibility between their projective geometry with the underl…