Convergence of the Kähler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces
نویسندگان
چکیده
منابع مشابه
Convergence of the Kähler-ricci Flow and Multiplier Ideal Sheaves on Del Pezzo Surfaces
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.
متن کاملExistence 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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Multiplier ideal sheaves are constructed as obstructions to the convergence of the Kähler-Ricci flow on Fano manifolds, following earlier constructions of Kohn, Siu, and Nadel, and using the recent estimates of Kolodziej and Perelman.
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Multiplier ideal sheaves are constructed as obstructions to the convergence of the Kähler-Ricci flow on Fano manifolds, following earlier constructions of Kohn, Siu, and Nadel, and using the recent estimates of Kolodziej and Perelman.
متن کاملOn the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
In this note we construct Nadel multiplier ideal sheaves using the Ricci flow on Fano manifolds. This extends a result of Phong, Šešum and Sturm. These sheaves, like their counterparts constructed by Nadel for the continuity method, can be used to obtain an existence criterion for KählerEinstein metrics. We end with a conjectural discussion on a possible extension of this result to general Kähl...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2009
ISSN: 0026-2285
DOI: 10.1307/mmj/1250169070