Dynamic alpha-invariants of del Pezzo surfaces

Ivan Cheltsov, Jesus Martinez-Garcia

For every smooth del Pezzo surface $S$, smooth curve $C\in |-K_S|$ and $\beta \in (0,1]$, we compute the $\alpha$-invariant of Tian $\alpha (S,(1-\beta )C)$ and prove the existence of Kähler--Einstein…