Interaction Between Singularity Theory and the Minimal Model Program
Algebraic Geometry
2017-12-05 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1712.01041,
title = {Interaction Between Singularity Theory and the Minimal Model Program},
author = {Chenyang Xu},
journal= {arXiv preprint arXiv:1712.01041},
year = {2017}
}
Comments
20 pages. Submitted to 2018 ICM