论文标题
关于P-Adic Simpson对应的注释
A note on p-adic Simpson correspondence
论文作者
论文摘要
鉴于合适的$ p $ - adic品种，我们显示了由Faltings和由Scholze构建的Riemann-Hilbert构建的$ P $ ADIC SIMPSON通信的比较定理。作为一个应用程序，我们为$ \ overline {\ mathbb q} _p $ - 局部系统制定了足够的条件。我们研究了辛普森（Simpson）的$ \ mathbb c^*$ - 对希格斯捆绑包的同构类别和相应的galois动作的$ p $ - 亚事类似物。
Given a proper smooth $p$-adic variety, we show a comparison theorem for the $p$-adic Simpson correspondence constructed by Faltings and Riemann-Hilbert correspondence constructed by Scholze. As an application we formulate a sufficient condition for $\overline{\mathbb Q}_p$-local system being de Rham. We study a $p$-adic analogue of Simpson's $\mathbb C^*$-action on the set of isomorphism classes of Higgs bundles and the corresponding Galois action on the set of isomorphism classes of generalized representations of the étale fundamental group.
