Multiplier Ideal Sheaves and the Kähler-Ricci Flow

Abstract

Multiplier ideal sheaves are constructed as obstructions to the convergence of the Kähler-Ricci flow on Fano manifolds, following earlier constructions of Kohn, Siu, and Nadel, and using the recent estimates of Kolodziej and Perelman

Cited by in corpus (6)

• Taming symplectic forms and the Calabi-Yau equation
• $C^{2,\alpha }$ estimates for nonlinear elliptic equations in complex and almost complex geometry
• The Kähler-Ricci flow and the $\bar{\partial }$ operator on vector fields
• Convergence of the Kähler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces
• Geometric flow, Multiplier ideal sheaves and Optimal destabilizer for a Fano manifold
• Geodesic Rays and Kähler-Ricci Trajectories on Fano Manifolds