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Alain Hénaut

Publications and source records attributed to Alain Hénaut.

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Infinitesimal symmetries for implicit planar webs

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".

math.AG↗