arXiv:1712.01041 Abstract | arXiv Analytics

arXiv:1712.01041 [math.AG]Abstract References Reviews Resources

Interaction Between Singularity Theory and the Minimal Model Program

Published 2017-12-04Version 1

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.

Comments: 20 pages. Submitted to 2018 ICM

Categories: math.AG, math.DG

Keywords: minimal model program, singularity theory, arbitrary kawamata log terminal singularity, interaction, local stability theory

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