论文标题
通过覆盖和曲线来界定分支
Bounding ramification by covers and curves
论文作者
论文摘要
我们证明，$ \ bar {\ mathbb q} _ \ ell $ - 限制等级的局部系统和在平滑品种上定义的$ x $在代数封闭的字段$ k $的特征性$ p \ neq \ ell $被有限分离的有限封面的封装外污染$ 2 $。在第一个等级中，有一条曲线可以保留其单片。在$ k $有限学位的纯粹先验扩展的代数关闭上定义了一条曲线，该曲线符合Lefschetz定理。上一个版本：纠正了次要错别字。
We prove that $\bar {\mathbb Q}_\ell$-local systems of bounded rank and ramification on a smooth variety $X$ defined over an algebraically closed field $k$ of characteristic $p\neq \ell$ are tamified outside of codimension $2$ by a finite separable cover of bounded degree. In rank one, there is a curve which preserves their monodromy. There is a curve defined over the algebraic closure of a purely transcendental extension of $k$ of finite degree which fulfills the Lefschetz theorem. Last version: minor typos corrected.
