Lucas Lavoyer

collaborators

3 papers

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

Expanding Soliton Models for Kähler-Ricci Flow Near Conical Singularities

Longteng Chen, Max Hallgren, Lucas Lavoyer

Let $(Y, g_{0})$ 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

Steady Gradient Ricci Solitons with $O (p) \times O (q)$ Symmetry

Lucas Lavoyer, Luke T. Peachey

We find new examples of steady gradient Ricci solitons with positive curvature operator in dimensions four and above. Utilising a procedure first introduced by Lai, we construct ex…

Kähler-Ricci Tangent Flows in the Analytic Minimal Model Program

Expanding Soliton Models for Kähler-Ricci Flow Near Conical Singularities

Steady Gradient Ricci Solitons with O(p)×O(q) Symmetry

Steady Gradient Ricci Solitons with $O (p) \times O (q)$ Symmetry