论文标题
Lefschetz定理用于结晶表示
A Lefschetz theorem for crystalline representations
论文作者
论文摘要
作为非亚伯式霍奇理论的推论，辛普森证明了强大的lefschetz定理，用于霍奇结构的复杂极化变化。我们显示一个算术类似物。我们的主要技术是$ p $ - 美国的非亚伯杂货理论。以\ emph {对数} $ p $ -adic Hodge理论为基础的某些基本结果的条件，我们还显示了对数类似物。
As a corollary of nonabelian Hodge theory, Simpson proved a strong Lefschetz theorem for complex polarized variations of Hodge structure. We show an arithmetic analog. Our primary technique is $p$-adic nonabelian Hodge theory. Conditional on certain foundational results in \emph{logarithmic} $p$-adic Hodge theory, we also show a logarithmic analog.
