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arxiv: 0710.5725 · v1 · submitted 2007-10-30 · 🧮 math.AG · math.CV· math.DG

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

classification 🧮 math.AG math.CVmath.DG
keywords ahler-riccicertainflowidealmultiplierpezzosheavessurfaces
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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 $C^\infty$-norm exponentially fast to a K\"ahler-Einstein metric. The proof is based on the method of multiplier ideal sheaves.

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