6. \mathbb{G}_a-action on the section ring
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Problem 6.1.
(I. Cheltsov) Let X be a K-stable Fano variety, R=R(X,-K_X). Does R admits an action of \mathbb{G}_a? (For dP_{1,2,3}, No. For dP_{4,5}, Yes). Any relation between the previous answer and \delta, \alpha, \mathrm{vol}, etc?
Cite this as: AimPL: K-stability and related topics, available at http://aimpl.org/kstability.