5 problems

Let $(\mathcal{X}\rightarrow\Delta,\mathcal{L})$ be a maximal unipotent degeneration of polarized Calabi–Yau $n$-manifolds with trivial relative canonical bundle, let $0\in\Delta$…

Let $(\mathcal{X}\rightarrow\Delta,\mathcal{L})$ be a degeneration of polarized Calabi–Yau manifolds of complex dimension $n$, and let $(X_{t},\omega_{t})$ be its Ricci-flat Kähler…

Let $\pi:\mathcal{X}\rightarrow\Delta$ be a degeneration of Calabi–Yau $n$-manifolds, with trivial relative canonical bundle, and let $0\in\Delta$ be a large complex limit point. F…

Gross–Wilson–Kontsevich–Soibelman conjecture. The diameter and normalized metric satisfy

Let $M$ be a hyperkähler manifold, and let $\eta$ be a rational nef class on $M$. A nef class is semiample if it is associated with a holomorphic map from $M$ to a complex manifold…