Geodesic
The equation y′ = fy in zero residue characteristic
Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 149-153

Voir la notice de l'article provenant de la source Cambridge University Press

Let K be an algebraically closed field complete with respect to an ultrametric absolute value |.| and let k be its residue class field. We assume k to have characteristic zero (hence K has characteristic zero too).Let D be a clopen bounded infraconnected set [3] in K, let R(D) be the algebra of the rational functions with no pole in D, let ‖.‖D be the norm of uniform convergence on D defined on R(D), and let H(D) be the algebra of the analytic elements on D i.e. the completion of R(D) for the norm ‖.‖D. 
Escassut, Alain; Sarmant, Marie-Claude. The equation y′ = fy in zero residue characteristic. Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 149-153. doi: 10.1017/S001708950000817X
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