Convergence of the Kähler-ricci Flow and Multiplier Ideal Sheaves on Del Pezzo Surfaces
نویسندگان
چکیده
On certain del Pezzo surfaces with large automorphism groups, it is shown that the solution to the Kähler-Ricci flow with a certain initial value converges in C∞-norm exponentially fast to a Kähler-Einstein metric. The proof is based on the method of multiplier ideal sheaves.
منابع مشابه
Existence of Kähler-einstein Metrics and Multiplier Ideal Sheaves on Del Pezzo Surfaces
We apply Nadel’s method of multiplier ideal sheaves to show that every complex del Pezzo surface of degree at most six whose automorphism group acts without fixed points has a Kähler-Einstein metric. In particular, all del Pezzo surfaces of degree 4, 5, or 6 and certain special del Pezzo surfaces of lower degree are shown to have a Kähler-Einstein metric. This result is not new, but the proofs ...
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