2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132375A projective structure on a compact Riemann surface X of genus g is given by an atlas with transition functions in PGL(2,C). Equivalently, a projective structure is given by a projective sl(2,C)-bundle over X equipped with a section s and a foliation F which is both transversal to the fibers and the section s. From this latter geometric bundle picture, we survey on classical problems and results on projective structures. We will give a complete description of projective (actually affine) structures on the torus with an explicit versal family of foliated bundle picture.Classical Analysis and ODEsAlgebraic GeometryDifferential GeometryProjective structures and projective bundles over compact Riemann surfacestext