4 problems

Pseudo-effectivity conjecture for the second Chern class.

Let $(X,\omega_X)$ be a compact Kähler manifold with nef anticanonical bundle. Torus or projective-line-fibration conjecture. One has … If equality holds for some Kähler metric, th…

Let $X$ be a compact Kähler manifold of dimension $n$ with nef anticanonical bundle, and let $\omega_1,\ldots,\omega_{n-2}$ be nef classes. Kawamata's second-Chern-class conjecture…

Let $X$ be a compact Kähler manifold of dimension $n$ with nef anticanonical bundle, and let $\omega_1,\ldots,\omega_{n-2}$ be nef classes. Kawamata's second-Chern-class conjecture…