2 problems

Let $X$ be a Lagrangian surface, meaning a smooth projective surface whose holomorphic two-forms contain a nonzero decomposable element in the relevant kernel defining the Lagrangi…

Let $X$ be a minimal generalized Lagrangian surface of general type. Thus, for a nonzero $w\in\ker\psi_2\subseteq H^0(X,\Omega_X^2)$ of rank $2$, let $V\subset H^0(X,\Omega_X^1)$ b…