5 papers
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-…
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.…
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 suitab…
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 with…
Comment on "Attractor solutions in scalar-field cosmology" and "How many e-folds should we expect from high-scale inflation?"
Yu Han, Long Chen
In Ref. [1], it was claimed that in the spatially flat cosmological case there exists a unique conserved measure (up to normalization) on the phase space for scalar fie…