The existence of the Kähler–Ricci soliton degeneration
Harold Blum, Yuchen Liu, Chenyang Xu, Ziquan Zhuang
Abstract
Abstract We prove an algebraic version of the Hamilton–Tian conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a Kähler–Ricci soliton when the ground field .
Topics & Concepts
Fano planeConjectureMathematicsAlgebraic numberSolitonField (mathematics)CombinatoricsDegeneration (medical)Algebraic geometryMathematical physicsPure mathematicsPhysicsMathematical analysisQuantum mechanicsNonlinear systemPathologyMedicineGeometry and complex manifoldsAlgebraic Geometry and Number TheoryGeometric Analysis and Curvature Flows