3 problems

Let $(M^m,\tilde\omega_t)$ be a collapsing family as above, with $[\alpha_0]=f^*[\omega_N]$ for a holomorphic surjective map with connected fibers $f:M\to N$, and let…

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 $(X_t,\omega_t)$ be a family of Ricci-flat Kähler manifolds associated with a large complex structure limit, and let … be the rescaled unit-diameter metrics. Kontsevich–Soibelm…