Convergence of the K\"ahler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces

Abstract

On certain del Pezzo surfaces with large automorphism groups, it is shown that the solution to the K\"ahler-Ricci flow with a certain initial value converges in C∞-norm exponentially fast to a K\"ahler-Einstein metric. The proof is based on the method of multiplier ideal sheaves.

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