3 problems

Let $(X^4,\omega_1,\omega_2,\omega_3)$ be a hyperkähler $K3$ surface, and let $\alpha_1,\alpha_2,\alpha_3$ be irreducible $(-2)$-classes in $H^2(X^4;\mathbb{Z})$ satisfying…

Let $X$ be a K3 manifold, let $\alpha_1,\alpha_2,\alpha_3$ be $-2$ classes on $X$ satisfying … and let $H\subset H^2(X)$ be a maximal positive subspace corresponding to a hyperkähl…

Let $(\psi_t)_{t\in(-T,T)}$ be a $1$-parameter family of closed, tamed, definite $4$-forms on $Y$. Let $\hat P$ be an unobstructed singular associative submanifold in $(Y,\psi_0)$…