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The polytope, rationality, and boundedness conjecture for K-semistable domains
K-semistable-domain conjecture. The set $\operatorname{Kss}(X,\sum_{j=1}^k D_j)$ is a polytope in $\overline{\Delta^k}$ ; all of its extremal points are rational; and all its extrem…
Conjectureopenbirational-geometry k-semistability moduli-of-pairsarXiv posted 2 days ago

The polytope, rationality, and boundedness conjecture for K-semistable domains