6 problems

Let $S$ be a surface of class VII$_0^+$, meaning that $b_1(S)=1$ and $b_2(S)>0$. A degeneration of blown-up primary Hopf surfaces is a surface arising as a degeneration of surfaces…

Let $X$ be a classical Hopf surface, and consider the Chern--Ricci flow starting from the standard metric. The flow collapses in finite time and converges to a metric space in the…

Consider the Chern–Ricci flow on a classical Hopf surface, and suppose its Gromov–Hausdorff limit exists after the relevant collapsing and normalization. Round-circle conjecture. T…

Let $M_{\alpha,\beta}$ be a Hopf surface, and let $\omega(t)$ be its Chern-Ricci flow, which for the standard Hopf metric collapses in the Gromov-Hausdorff sense to a circle as the…

Let the Chern–Ricci flow be a solution on a primary Hopf surface constructed from a Gauduchon–Ornea locally conformally Kähler metric. The solutions reach a volume-collapsing singu…

Let $(M^4,J)$ be a primary Hopf surface, and let $\omega_0$ be a pluriclosed metric on $M$. Primary Hopf surface convergence conjecture. The solution $\omega_t$ to pluriclosed flow…