2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72420We examine logarithmic connections with vanishing p-curvature on smooth curves by studying their kernels, describing them in terms of formal local decomposition. We then apply our results in the case of connections of rank 2 on P^1, classifying such connections in terms of self-maps of P^1 with prescribed ramification.19 pages. Contents of chapter V of PhD thesis, Massachusetts Institute of Technology, 2004Algebraic Geometry14H99text