2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161875We study the local Killing Lie algebra of meromorphic almost rigid geometric structures on complex manifolds. This leads to classification results for compact complex manifolds bearing holomorphic rigid geometric structures.Differential GeometryComplex Variables53B21;53C56;53A55Meromorphic almost rigid geometric structurestext