2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77821We prove necessary and sufficient conditions for a smooth surface in a 4-manifold X to be pseudoholomorphic with respect to some almost complex structure on X. This provides a systematic approach to the construction of pseudoholomorphic curves that do not minimize the genus in their homology class.8 pages, LaTeX. To appear in Proc. AMSDifferential Geometry53C15 (Primary) 57R95 (Secondary)text