论文标题
在具有微不足道的Chow组品种的整体猪头猜想上
On the integral Hodge conjecture for varieties with trivial Chow group
论文作者
论文摘要
我们获得了$ \ Mathbb {c} $上平滑的投射品种的示例，违反了整体Hodge的猜想，并且总Chow组为有限的等级。此外，我们证明存在在数字字段上定义的示例。
We obtain examples of smooth projective varieties over $\mathbb{C}$ that violate the integral Hodge conjecture and for which the total Chow group is of finite rank. Moreover, we show that there exist such examples defined over number fields.
