Projective structures and projective bundles over compact Riemann surfaces

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dc.creatorLoray, Frank
dc.creatorMarìn, David
dc.date2007-06-25
dc.date.accessioned2026-07-07T08:12:13Z
dc.date.available2026-07-07T08:12:13Z
dc.descriptionA 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.
dc.identifierhttps://arxiv.org/abs/0706.3608
dc.identifierhttp://arxiv.org/abs/0706.3608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132375
dc.subjectClassical Analysis and ODEs
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleProjective structures and projective bundles over compact Riemann surfaces
dc.typetext

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