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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.…
math.DG2026
Singular Kähler-Ricci Shrinkers are Complex Analytic
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 locally algebraic complex-analytic va…