Meng Chen

activity

19992025

most citedCanonical stability in terms of singularity index for algebraic threefolds

36 citations · 143 across the 39 of their papers we have counts for

collaborators

41 papers

math.AG2025

On minimal 3-folds with $K^{3} \geq 86$

Meng Chen, Sicheng Ding

We prove that the $5$ -canonical map of every minimal projective $3$ -fold $X$ with $K_{X}^{3} \geq 86$ is stably birational onto its image, which loosens previous requirements $K_X^3>435…

math.AG2019★ 8 cited

On quint-canonical birationality of irregular threefolds

Jheng-Jie Chen, Jungkai Alfred Chen, Meng Chen +1

Let $X$ be a complex smooth projective threefold of general type. Assume $q (X) > 0$ . We show that the $m$ -canonical map of $X$ is birational for all $m \geq 5$ .

math.AG2019

On minimal 4-folds of general type with $p_{g} \geq 2$

Jianshi Yan

We show that, for nonsingular projective 4-folds V of general type with geometric genus $p_{g} \geq 2$ , the 33-canonical map is birational onto the image and the canonical volume has…

math.AG2019

On projective threefolds of general type with p_g=2

Meng Chen, Yong Hu, Matteo Penegini

We classify minimal projective 3-folds of general type with $p_{g} = 2$ by studying the birationality of their 6-canonical maps.

math.AG2018★ 2 cited

The Noether inequality for algebraic threefolds (With an Appendix by János Kollár)

Jungkai A. Chen, Meng Chen, Chen Jiang

We establish the Noether inequality for projective $3$ -folds. More precisely, we prove that the inequality $vol (X) \geq \frac{4}{3} p_{g} (X) - \frac{10}{3}$ holds for all pro…

math.AG2017

On an open problem of characterizing the birationality of 4K

Meng Chen, Yong Hu

We answer an open problem raised by Chen and Zhang in 2008 and prove that, for any minimal projective 3-fold $X$ of general type with the geometric genus $\geq 5$ , $X$ is birationa…

On minimal 3-folds with K3≥86