4 problems

Let $X$ be a Fano variety. The invariant $b3(X)$ characterizes a notion called Gibbs stability, while $b4(X)$ is the stability threshold in the log Fano setting. Gibbs stability co…

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…

Gibbs stability uniqueness conjecture. The manifold $X$ admits a unique Kähler–Einstein metric.