2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170654We study germs of J-Holomorphic curves contained in $M$, a real analytic hypersurface of an symplectic manifold of dimension 4. We show, under topological hypothesis on $M$, that if $M$ is compact then $M$ is of finite type and so there is no germs of $J$-holomorphic curves on $M$(with $J$ adapted with the symplectic form). In $\Bbb{C}^2$ with the standard complex structure, this is a classical result of Diederich-Fornaess.Complex VariablesSymplectic Geometrytext