2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78465We identify the holomorphic de Rham complex of the minimal extension of a meromorphic vector bundle with connexion on a compact Riemann surface X with the L^2 complex relative to a suitable metric on the bundle and a complete metric on the punctured Riemann surface. Applying results of C. Simpson, we show the existence of a harmonic metric on this vector bundle, giving the same L^2 complex. As a consequence, we obtain a Hard Lefschetz-type theorem.AMS-LaTeX with XyPic macro package. 20 pages. To appear in Ann. Institut Fourier (Grenoble) vol. 49 (1999)Algebraic Geometry32S40, 32S60, 32L10, 35A20, 35A27text