activity
20172022
most citedToward the equivalence of the ACC for -log canonical thresholds and the ACC for minimal log discrepancies

13 citations · 44 across the 15 of their papers we have counts for

collaborators

15 papers

math.AG2022★ 1 cited

Uniform rational polytopes for Iitaka dimensions

Guodu Chen, Jingjun Han, Jihao Liu

In this paper, we continue to develop the theories on functional pairs and uniform rational polytopes. We show that there is a uniform perturbation for Iitaka dimensions of pseudo-…

math.AG2022

Remark on complements on surfaces

Jihao Liu

We give an explicit characterization on the singularities of exceptional pairs in any dimension. In particular, we show that any exceptional Fano surface is -lc. As c…

math.AG2022★ 3 cited

Second largest accumulation point of minimal log discrepancies of threefolds

Jihao Liu, Yujie Luo

The second largest accumulation point of the set of minimal log discrepancies of threefolds is . In particular, the minimal log discrepancies of -lc three…

math.AG2022

Relative Nakayama-Zariski decomposition and minimal models of generalized pairs

Jihao Liu, Lingyao Xie

We prove some basic properties of the relative Nakayama-Zariski decomposition. We apply them to the study of lc generalized pairs. We prove the existence of log minimal models or M…

math.AG2022★ 2 cited

On generalized lc pairs with -log abundant nef part

Junpeng Jiao, Jihao Liu, Lingyao Xie

We study the behavior of generalized lc pairs with -log abundant nef part, a meticulously designed structure on algebraic varieties. We show that this structure…

math.AG2022★ 5 cited

ACC for minimal log discrepancies of terminal threefolds

Jingjun Han, Jihao Liu, Yujie Luo

We prove that the ACC conjecture for minimal log discrepancies holds for threefolds in , where only depends on the coefficient set. We also study Reid's genera…