The J-flow and stability

Abstract

We study the J-flow from the point of view of an algebro-geometric stability condition. In terms of this we give a lower bound for the natural associated energy functional, and we show that the blowup behavior found by Fang-Lai is reflected by the optimal destabilizer. Finally we prove a general existence result on complex tori.

21 pages

References in corpus (1)

• Convergence of general inverse ${\sigma }_k$-flow on Kähler manifolds with Calabi Ansatz

Cited by in corpus (5)

• Kähler-Einstein metrics along the smooth continuity method
• A criterion for the properness of the K-energy in a general Kahler class
• Parabolic Flow for Generalized complex Monge-Ampère type equations
• On the J-flow in Sasakian manifolds
• The J-flow On Toric Manifolds