2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230890The Serre construction of rank two holomorphic bundles with a section is adapted to construct generalized holomorphic bundles on a generalized complex 4-manifold from the data of a set of points on an elliptic curve. The motivation is the special case of rank two Poisson modules on a complex surface with a holomorphic Poisson structure.Dedicated to S-T Yau on the occasion of his 60th birthdayDifferential GeometryAlgebraic Geometry53D17;53C56text