论文标题
合理联系的家族中的零周期
Zero-cycles in families of rationally connected varieties
论文作者
论文摘要
我们研究合理联系的家族中的零循环。我们表明，对于在Henselian离散估值环上进行平滑的投影方案，如果特殊纤维的合理连接，相对零周期对特殊纤维的相对零周期限制会引起同构。我们将此结果进一步扩展到某些更高的Chow组，并在非平滑案例中产生猜想。我们的主要结果推广了Kollár[31]的结果。
We study zero-cycles in families of rationally connected varieties. We show that for a smooth projective scheme over a henselian discrete valuation ring the restriction of relative zero cycles to the special fiber induces an isomorphism on Chow groups if the special fiber is separably rationally connected. We further extend this result to certain higher Chow groups and develop conjectures in the non-smooth case. Our main results generalise a result of Kollár [31].
