论文标题
刚性分析P-Adic Simpson的线束对应关系
Rigid analytic p-adic Simpson correspondence for line bundles
论文作者
论文摘要
由于fal的p-adic Simpson对应是非亚伯式霍奇理论的P-ADIC类似物。以下是本文的主要结果：在某些较小的条件下，可以增强线束的对应关系对模量空间的刚性分析形态。在复杂的环境中，辛普森（Simpson）表明，模量空间中有一个复杂的分析形态，用于与有限生成的组作为代数品种的有限生成组的表示的模量空间的矢量束。我们给出了辛普森结果的P-Adic类似物。
The p-adic Simpson correspondence due to Faltings is a p-adic analogue of non-abelian Hodge theory. The following is the main result of this article: The correspondence for line bundles can be enhanced to a rigid analytic morphism of moduli spaces under certain smallness conditions. In the complex setting, Simpson shows that there is a complex analytic morphism from the moduli space for the vector bundles with integrable connection to the moduli space of representations of a finitely generated group as algebraic varieties. We give a p-adic analogue of Simpson's result.
