3 problems

Let $X$ be a Fano variety, and let $b3(X)$ denote the Gibbs stability invariant. Recall that K-stability and K-semistability are algebraic stability conditions for Fano varieties.…

Let $(X,\Delta)$ be a log Fano manifold. Gibbs polystability conjecture. $(X,\Delta)$ is Gibbs polystable if and only if it is uniformly Gibbs polystable if and only if it is K-pol…

Let $X$ be a Fano manifold. A Kähler–Einstein metric on $X$ is denoted by $\omega_{KE}$, and let $\delta_N$ be the empirical measure of the corresponding canonical point process. T…