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Enveloppe galoisienne d’une application rationnelle de $\mathbb{P}^1$

Enveloppe galoisienne d’une application rationnelle de $\mathbb{P}^1$

Galoisian envelope of a rational map.In 2001, B. Malgrange defines the D-envelope or galoisian envelope of an analytical dynamical system.Roughly speaking, this is the algebraic hull of the dynamical system.In this short article, the D-envelope of a rational map R : P 1 → P 1 is computed.The rational maps …