5 problems

Let $X^n$ be a compact complex manifold with $K_X$ nef and big, and let $tilde\omega(s)$ be the solution of the Chern-Ricci flow … starting at an arbitrary Hermitian metric…

Let $M$ be any Inoue surface. Let $\omega(t)$ be the Chern-Ricci flow and let $\omega_\infty$ be the closed semipositive $(1,1)$-form representing a multiple of $c_1(K_M)$ describe…

Let $f:M\to\Sigma$ be an elliptic bundle over a Riemann surface $\Sigma$ of genus at least $2$, and let $\omega(t)$ solve the Chern-Ricci flow on $M$ from an arbitrary Gauduchon me…

Let $M^n$ be a compact complex manifold with nef canonical bundle $K_M$ and Kodaira dimension $\mathrm{Kod}(M)=n$. Let $\omega(t)$ solve the Chern-Ricci flow starting at an arbitra…

Tosatti–Weinkove's canonical surgical contraction conjecture. There exists a smooth maximal solution $\omega_t$ of the Chern–Ricci flow on $Y$ for $t\in(T,T_Y)$, with…