2 problems

Let $X_\infty$ be a Gromov–Hausdorff limit of a sequence of Fano manifolds along the Kähler-Ricci flow, and let $S$ denote its singular set. Smooth-limit folklore conjecture. The G…

Let $(M,J_0)$ be a Fano manifold admitting a Kähler-Ricci soliton $\omega_{KS}\in 2\pi c_1(M,J_0)$. Let $H_1$ be the operator whose negative eigenspaces define the linear subspace…