Title: An optimal boundedness on weak $\bQ$-Fano 3-folds (Joint with Jungkai A. Chen)
Speaker: Meng Chen, Fudan University, China
Abstract:
Let $X$ be a terminal weak $\mathbb{Q}$-Fano 3-fold. We prove that
$P_{-6}(X)>0$ and $P_{-8}(X)>1$. We also prove that the
anti-canonical volume has the universal lower bound $-K^3 \geq
1/330$. This lower bound is optimal.