论文标题
Lubin-Tate $（φ_L，γ_L）$ - 模块的分析协同学的有限
Finiteness of analytic cohomology of Lubin-Tate $(φ_L,Γ_L)$-modules
论文作者
论文摘要
我们证明了$ l $ -Analytic $（φ_l，γ_L）$的分析共同体的有限性和基本变化属性 - 在TATE的意义上是由Arodinoid代数参数参数的模块。由于技术原因，我们在包含Lubin-Tate集团时期的字段$ K $上工作，这使我们能够用明确的概括性HERR综合体来描述分析的共同体。
We prove finiteness and base change properties for analytic cohomology of families of $L$-analytic $(φ_L,Γ_L)$-modules parametrised by affinoid algebras in the sense of Tate. For technical reasons we work over a field $K$ containing a period of the Lubin-Tate group, which allows us to describe analytic cohomology in terms of an explicit generalized Herr complex.
