Algebraic threefolds of general type with small volume

Yong Hu, Tong Zhang

It is known that the optimal Noether inequality $\mathrm{vol}(X)\ge \frac{4}{3}{p}_g(X)-\frac{10}{3}$ holds for every $3$-fold $X$ of general type with $p_g(X)\ge 11$. In this pa…