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A precise description of the singularities of the Borel transform ofsolutions of a level-one linear differential system is deduced from a proof ofthe summable-resurgence of the solutions by the perturbative method of J.\'Ecalle. Then we compare the meromorphic classification (Stokes phenomenon)from the viewpoint of the Stokes cocycle and the viewpoint of alienderivatives. We make explicit the Stokes-Ramis matrices as functions of theconnection constants in the Borel plane and we develop two examples. Noassumption of genericity is made.

Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems