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

Abstract

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