Meng Chen

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math.AG2026

Sharp Noether-type inequalities for $3$ -folds of intermediate Kodaira dimensions

Meng Chen, Yong Hu, Chen Jiang +1

For a smooth projective $3$ -fold $V$ of intermediate Kodaira dimension, we establish Noether-type inequalities relating the Iitaka volume $Ivol (V)$ and the geometric…

math.AG2024

The Noether inequality for threefolds and three moduli spaces with minimal volumes

Meng Chen, Yong Hu, Chen Jiang

We establish the Noether inequality \[\textrm{Vol}(X)\geq \frac{4}{3}p_g(X)-\frac{10}{3}\] for all projective $3$ -folds $X$ of general type with geometric genus $5\leq p_g(X)\leq 1…

Sharp Noether-type inequalities for 3-folds of intermediate Kodaira dimensions

The Noether inequality for threefolds and three moduli spaces with minimal volumes

Sharp Noether-type inequalities for $3$ -folds of intermediate Kodaira dimensions