On the classification of Kähler–Ricci solitons on Gorenstein del Pezzo surfaces
On the classification of Kähler–Ricci solitons on Gorenstein del Pezzo surfaces
We give a classification of all pairs $$(X,\xi )$$ of Gorenstein del Pezzo surfaces X and vector fields $$\xi $$ which are K-stable in the sense of Berman–Witt–Nyström and therefore are expected to admit a Kähler–Ricci solition. Moreover, we provide some new examples of Fano threefolds admitting a Kähler–Ricci soliton.