2 problems

Let $M$ be a hyperkähler manifold and let $\ell$ be a cohomology class. Define the nef Teichmüller space by … and define the semiample Teichmüller space by … Here a line bundle is…

Main conjecture on exceptional points. I. If $X_0$ is Kähler, then $X_0$ is neither exceptional in $\mathscr{T}(M)$ nor $\mathbb{Z}$-exceptional in $\mathscr{T}^{\mathbb{Z}}(M)$.