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math.DG2026
Kähler-Ricci Tangent Flows in the Analytic Minimal Model Program
Longteng Chen, Max Hallgren, Lucas Lavoyer
We describe certain finite-time singularities of the Kähler-Ricci flow arising in the analytic minimal model program. Assuming that convergence to an asymptotically conical Kähler-…
math.DG2026
Singular Kähler--Ricci shrinkers and polarized Fano fibrations
Max Hallgren, Junsheng Zhang
We prove that any singular Kähler--Ricci shrinker arising as a noncollapsed limit of Kähler--Ricci flows admits a natural structure of a polarized Fano fibration. We also show…
math.DG2026
Expanding Soliton Models for Kähler-Ricci Flow Near Conical Singularities
Longteng Chen, Max Hallgren, Lucas Lavoyer
Let be a compact analytic space with a finite number of singular points, where the metric at each singular point is modelled on a Kähler cone with smooth canonical model.…