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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.DG2025
Stability of asymptotically conical gradient Kähler-Ricci expanders
Longteng Chen
In this work, we consider a perturbation of an asymptotically conical gradient expanding Kähler-Ricci soliton metric in the same Kähler class. We demonstrate that, under suit…
math.DG2025
Uniqueness of asymptotically conical Kähler-Ricci flow
Longteng Chen
We study the uniqueness problem for the Kähler-Ricci flow with a conical initial condition. Given a complete gradient expanding Kähler-Ricci soliton on a non compact manifold wit…