English

Holomorphic projective connections on surfaces

Differential Geometry 2023-01-12 v4

Abstract

We study complex analytic (possibly singular) projective connections on the plane. We characterize some of them in terms of their families of integral curves. We also give a beginning of classification of second order odes polynomial in the first and second derivatives, and with holomorphic coefficients.

Keywords

Cite

@article{arxiv.1401.2375,
  title  = {Holomorphic projective connections on surfaces},
  author = {Oumar Wone},
  journal= {arXiv preprint arXiv:1401.2375},
  year   = {2023}
}

Comments

16 pages

R2 v1 2026-06-22T02:42:58.401Z