2022/01/11 by Jack D. Rogers, Rogers, Jack
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2201.04097
We prove the K-polystability of all smooth complex Fano threefolds admitting an effective action of SL2 but not of a 2-torus or 3-torus. In particular, the existence of K"ahler-Einstein metrics on varieties in the families (1.10), (1.15), (1.16), (1.17), (2.21), (2.27), (2.32), (3.13), (3.17), (3.25) and (4.6) of the Mori-Mukai classification of smooth Fano threefolds is proved.