English

Infinitesimal symmetries for implicit planar webs

Algebraic Geometry 2017-10-02 v1 Complex Variables Differential Geometry

Abstract

In the complex setting, let F(x,y,y)=0F(x,y,y')=0 be an analytic or algebraic differential equation with yy'-degree dd. We deal with the qualitative study of such equations through the geometry of the planar dd-web generated by the generic family of integral curves. Infinitesimal symmetries of these configurations are discussed by using meromorphic connections methods "\`a la Cartan-Spencer".

Keywords

Cite

@article{arxiv.1709.10103,
  title  = {Infinitesimal symmetries for implicit planar webs},
  author = {Alain Hénaut},
  journal= {arXiv preprint arXiv:1709.10103},
  year   = {2017}
}
R2 v1 2026-06-22T21:58:10.045Z