论文标题
对典范本地系统的乐观猜测的反例
A counterexample to an optimistic guess about étale local systems
论文作者
论文摘要
在P-Adic Hodge理论中，众所周知，如果Galois表示是De Rham，那么在基本场扩展后它可以半固定。刘和朱询问是否在相对设置中存在相应的结果：给定在p-adic磁场上的准紧凑型刚性分析品种（例如，投影方案）上给定典型的局部系统，在基础场的有限扩展之后，它是否可以在基础场的有限扩展后变为半固定？我们给出反例。
In p-adic Hodge theory, it is known that if a Galois representation is de Rham, then it becomes semistable after extension of the base field. Liu and Zhu asked whether a corresponding result holds in the relative setting: given an étale local system on a quasi-compact rigid analytic variety (for example, a projective scheme) over a p-adic field, does it become semistable after a finite extension of the base field? We give a counterexample.
