论文标题
希格斯束的平行运输在p-adic曲线上
Parallel transport for Higgs bundles over p-adic curves
论文作者
论文摘要
Faltings猜想在P-Adic Simpson的对应关系下，几何尺寸的P-ADIC表示，几何形式的基本基本组的平滑p-Adic曲线X的平滑p-Adic曲线X等同于X上的半稳定性Higgs bundles o Zero bonve y o x o。捆绑包，其潜在的捆绑包有潜在地承认零度的半稳定降低。我们表明，这些Higgs捆绑包是零度的半稳定度，并研究了上述猜想的一些证据。
Faltings conjectured that under the p-adic Simpson correspondence, finite dimensional p-adic representations of the geometric étale fundamental group of a smooth proper p-adic curve X are equivalent to semi-stable Higgs bundles of degree zero over X. In this article, we establish, over a p-adic curve of genus $g\ge 2$, an equivalence between these representations and Higgs bundles, whose underlying bundles potentially admit a strongly semi-stable reduction of degree zero. We show that these Higgs bundles are semi-stable of degree zero and investigate some evidence for the aforementioned conjecture.
