论文标题
Les Suites Spectrals De Hodge-Tate
Les suites spectrales de Hodge-Tate
论文作者
论文摘要
本书在P-Adic Hodge理论中提出了两个重要的结果，该方法是由Faltings发起的方法，即（i）他的主要P-ADIC比较定理，以及（ii）Hodge-Tate Spectral序列。我们为每个结果建立了两个版本，一个绝对的版本和一个相对的版本。尽管可以合理地考虑绝对陈述，尤其是在Scholze将其扩展到刚性品种之后，但对相对变异的初始方法的研究仍然较少。尽管我们遵循与Faltings建立他的主要P-ADIC比较定理相同的策略，但我们的一部分证明是基于新结果。在这种方法中，相对霍奇 - 泰特光谱序列是新的。
This book presents two important results in p-adic Hodge theory following the approach initiated by Faltings, namely (i) his main p-adic comparison theorem, and (ii) the Hodge-Tate spectral sequence. We establish for each of these results two versions, an absolute one and a relative one. While the absolute statements can reasonably be considered as well understood, particularly after their extension to rigid varieties by Scholze, Faltings' initial approach for the relative variants has remained much less studied. Although we follow the same strategy as that used by Faltings to establish his main p-adic comparison theorem, part of our proofs is based on new results. The relative Hodge-Tate spectral sequence is new in this approach.
