论文标题
通用规范和fargues-fontaine曲线
Universal norms and the Fargues-Fontaine curve
论文作者
论文摘要
我们研究了与De Rham $ p $ -Adic Galois代表相关的通用规范模块。特别是，当表示形式的hodge-tate权重大于或等于$ 0 $时，我们会精确地计算此模块。这将Coates和Greenberg的结果概括为Abelian品种，并部分回答了他们的问题。我们的方法依赖于Fargues Fontaine曲线上向量束的分类。
We study the module of universal norms associated with a de Rham $p$-adic Galois representation in a perfectoid field extension. In particular, we compute precisely this module when the Hodge-Tate weights of a representation are greater than or equal to $0$. This generalises a result by Coates and Greenberg for Abelian varieties, and partially answers a question of theirs. Our method relies on the classification of vector bundles over the Fargues-Fontaine curve.
