Showing 2024Show all
3 papers · 1 filter
math.AG2024
ACC for local volumes
Jingjun Han, Jihao Liu, Lu Qi
We prove the ACC conjecture for local volumes. Moreover, when the local volume is bounded away from zero, we prove Shokurov's ACC conjecture for minimal log discrepancies.
math.AG2024
Minimal model program for algebraically integrable adjoint foliated structures
Paolo Cascini, Jingjun Han, Jihao Liu +4
For -factorial klt algebraically integrable adjoint foliated structures, we prove the cone theorem, the contraction theorem, and the existence of flips. Therefore, we de…
math.AG2024
Volume of algebraically integrable foliations and locally stable families
Jingjun Han, Junpeng Jiao, Mengchu Li +1
In this paper, we study the volume of algebraically integrable foliations and locally stable families. We show that, for any canonical algebraically integrable foliation, its volum…