On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow

Details On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow

2007-08-12

arxiv.org/abs/0708.1590v3

Trans. Amer. Math. Soc. 361 (2009), 5839-5850.

Mathematics

Differential Geometry

v2: 1. added details for the case n=1. 2. added some references. v3: minor changes. To appear in Transactions of the American

Scientific paper

10.1090/S0002-9947-09-04675-3

In this note we construct Nadel multiplier ideal sheaves using the Ricci flow
on Fano manifolds. This extends a result of Phong, Sesum and Sturm. These
sheaves, like their counterparts constructed by Nadel for the continuity
method, can be used to obtain an existence criterion for Kahler-Einstein
metrics.

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