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arXiv · 1709.10103

Infinitesimal symmetries for implicit planar webs

Alain Hénaut
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Abstract

In the complex setting, let $F(x,y,y')=0$ be an analytic or algebraic differential equation with $y'$-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".

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Alain Hénaut. 2017-09-28. Infinitesimal symmetries for implicit planar webs. https://arxiv.org/abs/1709.10103

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