2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64463It is a well known fact that every embedded symplectic surface $Σ$ in a symplectic 4-manifold $(X^4,ω)$ can be made $J$-holomorphic for some almost-complex structure $J$ compatible with $ω$. In this paper we investigate when such a $J$ can be chosen from a generic set of almost-complex structures. As an application we give examples of smooth and non-empty Seiberg-Witten and Gromov-Witten moduli spaces whose associated invariants are zero.Minor changes were made upon referee's suggestion. Updated references. To be published in Illinois J. MathSymplectic Geometry32Q65; 53D50text