论文标题
计算与大基本组的品种上有界高度的积分点
Counting integral points of bounded height on varieties with large fundamental group
论文作者
论文摘要
本说明是针对艾伦伯格，劳伦斯和维卡茨的最新论文的修正案。粗略地说，这里的主要结果表明，在基本组较大的数字场上，积分点的数量是有界高度的积分点数量。这样的改进，即需要大的基本群体，而不是存在纯霍奇结构的几何变化，已经在Op.Cit中提出了。
The present note is devoted to an amendment to a recent paper of Ellenberg, Lawrence and Venkatesh. Roughly speaking, the main result here states the subpolynomial growth of the number of integral points with bounded height of a variety over a number field whose fundamental group is large. Such an improvement, i.e. requiring large fundamental group as opposed to the existence of a geometric variation of pure Hodge structures, was already asked in op.cit..
