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arXiv · 1712.01041

Interaction Between Singularity Theory and the Minimal Model Program

Chenyang Xu
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Abstract

We survey some recent topics on singularities, with a focus on their connection to the minimal model program. This includes the construction and properties of dual complexes, the proof of the ACC conjecture for log canonical thresholds and the recent progress on the `local stability theory' of an arbitrary Kawamata log terminal singularity.

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Chenyang Xu. 2017-12-04. Interaction Between Singularity Theory and the Minimal Model Program. https://arxiv.org/abs/1712.01041

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