论文标题
在某些合理连接的三倍上，编纂的两个积分点可能是密度的
Codimension two integral points on some rationally connected threefolds are potentially dense
论文作者
论文摘要
让$ v $成为一个平稳，投影，合理连接的品种，在数字字段$ k $上定义，让$ z \ subset v $至少是两个封闭的子集。在本文中，对于$ v $的某些选择，我们证明了$ z $ - 综合点的集合可能是zariski密集，从某种意义上说，有有限的扩展名$ k $ $ k $的$ k $，因此$ z $ ins $ z $ intement $ z $ - integral的$ p \ in s $ z $ - integral是zariski ins zariski ins zariski ins zariski ins $ v $。这为2001年的Hassett和Tschinkel的问题提供了积极的答案。
Let $V$ be a smooth, projective, rationally connected variety, defined over a number field $k$, and let $Z\subset V$ be a closed subset of codimension at least two. In this paper, for certain choices of $V$, we prove that the set of $Z$-integral points is potentially Zariski dense, in the sense that there is a finite extension $K$ of $k$ such that the set of points $P\in V(K)$ that are $Z$-integral is Zariski dense in $V$. This gives a positive answer to a question of Hassett and Tschinkel from 2001.
