Speaker: 胡勇（上海交通大学）

Time:  14:30-15:30, Feb. 2, 2024

Online: Zoom: 811 5638 1768 （Password：msrc）

Title: Noether inequality for irregular threefolds of general type

Abstract:

Let $X$ be a smooth irregular $3$-fold of general type. In this talk, we will prove that the optimal Noether inequality $\vol(X) \ge \frac{4}{3}p_g(X)$ holds if $p_g(X) \ge 16$ or if $X$ has a Gorenstein minimal model. Moreover, when $X$ attains the equality and $p_g(X) \ge 16$, its canonical model will be explicitly described. This is a joint work with Tong Zhang.