On termination of flips and exceptionally noncanonical singularities

J Han, J Liu - Geometry & Topology, 2025 - msp.org
We systematically introduce and study a new type of singularity, namely, exceptionally
noncanonical (enc) singularities. This class of singularities plays an important role in the …

[PDF][PDF] ACC for local volumes

J Han, J Liu, L Qi - arXiv preprint arXiv:2408.15090, 2024 - arxiv.org
arXiv:2408.15090v2 [math.AG] 29 Aug 2024 Page 1 arXiv:2408.15090v2 [math.AG] 29 Aug
2024 ACC FOR LOCAL VOLUMES JINGJUN HAN, JIHAO LIU, AND LU QI Abstract. We prove …