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arXiv · 2405.11902

On diminished multiplier ideal and the termination of flips

Donghyeon Kim
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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 $\kappa_{\sigma}(K_X+\Delta)\ge \dim X-1$ holds. The proof uses a theory of diminished multiplier ideal.

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Donghyeon Kim. 2024-05-20. On diminished multiplier ideal and the termination of flips. https://arxiv.org/abs/2405.11902

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