On diminished multiplier ideal and the termination of flips
Abstract
In this paper, we develop a theory of diminished multiplier ideals on singular varieties which was introduced by Hacon, and developed by Lehmann. We prove a result regarding the termination of certain type of flips with scaling of an ample divisor if the Cartier index is bounded, and if σ(KX+) X-1 holds. The proof uses a theory of diminished multiplier ideal.
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