3 problems

Let $(X,\Delta)$ be a log Fano manifold with vanishing Futaki character. Let $\gamma(X,\Delta)^{\mathcal{G}}$ denote the reduced Gibbs stability threshold and let…

Let $X$ be a Fano manifold and set $L=-K_X$. Write $alpha(L)$ for the alpha-invariant of $L$, and let $alpha_m(L)$ denote its finite-level counterpart associated to the linear syst…

Let $(X,B;L)$ be a polarized pair, and let $\sigma_{\mathrm{div}}(X,B;L)$ and $\sigma_{\mathrm{K}}(X,B;L)$ denote the divisorial and K-stability thresholds, respectively. Threshold…