English

Heijal's theorem for parabolic projective structures on non compact surfaces

Differential Geometry 2016-07-20 v2

Abstract

In this note, we prove that the holonomy map from the set of equivalence classes of projective structures of parabolic type on non compact surfaces to the set of equivalence classes of parabolic representations of the fundamental group of the surface to P SL 2 (C) is a local biholomorphism.

Keywords

Cite

@article{arxiv.1604.06999,
  title  = {Heijal's theorem for parabolic projective structures on non compact surfaces},
  author = {Nicolas Hussenot Desenonges},
  journal= {arXiv preprint arXiv:1604.06999},
  year   = {2016}
}
R2 v1 2026-06-22T13:39:28.394Z