Yujie Luo

activity

20172023

most citedShokurov's conjecture on conic bundles with canonical singularities

10 citations · 44 across the 8 of their papers we have counts for

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5 papers · 1 filter

math.AG2023★ 7 cited

On global ACC for foliated threefolds

Jihao Liu, Yujie Luo, Fanjun Meng

In this paper, we prove the rational coefficient case of the global ACC for foliated threefolds. Specifically, we consider any lc foliated log Calabi-Yau triple $(X, F, B)$ …

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 $\frac{5}{6}$ . In particular, the minimal log discrepancies of $\frac{5}{6}$ -lc three…

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 $[1 - δ, + \infty)$ , where $δ > 0$ only depends on the coefficient set. We also study Reid's genera…

math.AG2021★ 10 cited

Shokurov's conjecture on conic bundles with canonical singularities

Jingjun Han, Chen Jiang, Yujie Luo

A conic bundle is a contraction $X \to Z$ between normal varieties of relative dimension $1$ such that $- K_{X}$ is relatively ample. We prove a conjecture of Shokurov which predicts t…

math.AG2020★ 1 cited

On boundedness of divisors computing minimal log discrepancies for surfaces

Jingjun Han, Yujie Luo

Let $Γ$ be a finite set, and $X ∋ x$ a fixed klt germ. For any lc germ $(X ∋ x, B := \sum_{i} b_{i} B_{i})$ such that $b_{i} \in Γ$ , Nakamura's conjecture, which is equivalent to the ACC co…