3 problems

A polarized Calabi–Yau manifold is a pair $(X,\omega)$ consisting of a compact algebraic manifold $X$ with zero first Chern class and a Kähler form $\omega\in H^2(X,\mathbb Z)$. Le…

Weil–Petersson extension and completion conjecture. The metric $\omega_{WP}$ extends uniquely to a non-negative closed $(1,1)$-current on $O{S}$ with continuous local potentials, a…

Wang's conjecture. $X$ has finite Weil–Petersson distance if and only if