A Reduced Form for Linear Differential Systems and its Application to Integrability of Hamiltonian Systems

Ainhoa Aparicio Monforte, Jacques-Arthur Weil

Let $[A]:Y^{\prime }=AY$ with $A\in {\mathrm{M}}_n(k)$ be a differential linear system. We say that a matrix $R\in {\mathcal{M}}_n(\bar{k})$ is a {\em reduced form} of $[A]$ if $R\in \mathfrak…