3 problems

Let $F$ be a number field, $(X_{\eta},L_{\eta})$ a normal polarized projective variety over $F$, and let $(X,L,h_L)$ range over all metrized polarized normal models over…

Let $X$ be a Fano manifold. Let $N_k:=\dim H^0(X,-kK_X)$, and let the corresponding canonical point processes be defined by the Gibbs measures associated with determinants of bases…

Minimum-norm Yau–Tian–Donaldson conjecture. A polarised manifold $(X,L)$ with discrete automorphism group admits a cscK metric if and only if it is uniformly K-stable with respect…