On the classification of Kahler-Ricci solitons on Gorenstein del Pezzo surfaces

Abstract

We give a classification of all pairs (X,v) of Gorenstein del Pezzo surfaces X and vector fields v which are K-stable in the sense of Berman-Nystrom and therefore are expected to admit a Kahler-Ricci solition. Moreover, we provide some new examples of Fano threefolds admitting a Kahler-Ricci soliton.

21 pages, ancillary files containing calculations in SageMath; minor corrections

References in corpus (2)

• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• K-Stability for Fano Manifolds with Torus Action of Complexity One

Cited by in corpus (5)

• Complete Ricci solitons via estimates on the soliton potential
• Greatest Lower Bounds on Ricci Curvature for Fano $T$-manifolds of Complexity $1$
• The moduli space of Fano manifolds with Kähler-Ricci solitons
• Classifying Fano Complexity-One $T$-Varieties via Divisorial Polytopes
• Kähler Soliton Surfaces Are Generically Toric