论文标题
De Rham局部系统的P-ADIC单片定理
A p-adic monodromy theorem for de Rham local systems
论文作者
论文摘要
我们研究了P-ADIC场上某个平滑consepinoid的绝对Galois组的水平半固定和水平DE RHAM表示。特别是，我们证明了基本场有限扩展后，水平的DE RHAM表示变为水平的半固定。作为一种应用，我们表明，在平滑的刚性分析品种上的每个DE RHAM局部系统在每个经典点上都可以在本地进行水平的半固定。我们还讨论了De Rham局部系统的潜在结晶基因座，并讨论了平滑适当形态的同一个潜在的良好还原基因座。
We study horizontal semistable and horizontal de Rham representations of the absolute Galois group of a certain smooth affinoid over a p-adic field. In particular, we prove that a horizontal de Rham representation becomes horizontal semistable after a finite extension of the base field. As an application, we show that every de Rham local system on a smooth rigid analytic variety becomes horizontal semistable etale locally around every classical point. We also discuss potentially crystalline loci of de Rham local systems and cohomologically potentially good reduction loci of smooth proper morphisms.
