导航
学术报告|
当前位置:首页  科研  学术报告
报告题目: Noether-Severi inequality and equality for irregular threefolds of general type
报 告 人: Yong Hu
报告人所在单位: Shanghai Jiao Tong University
报告日期: 2021.10.13
报告时间: 16:00-17:00
报告地点: Room 102
   
报告摘要:

e prove the optimal Noether-Severi inequality that $\vol(X) \ge \frac{4}{3} \chi(\omega_{X})$ for all smooth and irregular $3$-folds $X$ of general type over $\CC$. This answers an open question of Z. Jiang in dimension three. For those $3$-folds $X$ attaining the equality, we completely describe their canonical models and show that the topological fundamental group $\pi_1(X) \simeq \ZZ^2$. As a corollary, we obtain for the same $X$ another optimal inequality that $\vol(X) \ge \frac{4}{3}h^0_a(X, K_X)$ where $h^0_a(X, K_X)$ stands for the continuous rank of $K_X$, and we show that $X$ attains this equality if and only if $\vol(X) = \frac{4}{3}\chi(\omega_{X})$. This is a joint work with Tong Zhang.

10.13yong hu.pdf

   
本年度学院报告总序号: 242

Copyright © |2012 复旦大学数学科学学院版权所有 沪ICP备042465