Infinitesimal symmetries for implicit planar webs

Abstract

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

References in corpus (1)

• Flat 3-webs via semi-simple Frobenius 3-folds