Log del Pezzo ${\mathbb{C}}^{\ast }$-surfaces, Kähler-Einstein metrics, Kähler-Ricci solitons and Sasaki-Einstein metrics

Daniel Hättig, Jürgen Hausen, Hendrik Süß

We consider two classes of non-toric log del Pezzo ${\mathbb{C}}^{\ast }$-surfaces: on the one side the 1/3-log canonical ones and on the other side those of Picard number one and Gorenste…