论文标题
晶体局部系统的棱柱形方法
A prismatic approach to crystalline local systems
论文作者
论文摘要
令X为平滑的P-ADIC正式方案。我们表明，X的通用纤维上的积分结晶本地系统等于X的棱柱形位点的分析基因座的棱柱形f-晶体。作为应用程序，我们给出了Fontaine的C_Crys-Contionure的刺激性证明，以在相对设置和允许冲后的基础场上进行一般系数，并提供一般系数。在此过程中，我们还为棱柱形F-晶体的共同点建立了各种基础结果，包括各种比较定理，庞加莱二元性和Frobenius同等基础。
Let X be a smooth p-adic formal scheme. We show that integral crystalline local systems on the generic fiber of X are equivalent to prismatic F-crystals over the analytic locus of the prismatic site of X. As an application, we give a prismatic proof of Fontaine's C_crys-conjecture, for general coefficients, in the relative setting, and allowing ramified base fields. Along the way, we also establish various foundational results for the cohomology of prismatic F-crystals, including various comparison theorems, Poincaré duality, and Frobenius isogeny.
