Convergence of the Kähler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces

Details Convergence of the Kähler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces Convergence of the Kähler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces

2007-10-30

arxiv.org/abs/0710.5725v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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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