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引用次数: 0
摘要
我们证明了以塔特意义上的affinoid代数为参数的L-解析(φL,ΓL)-模块族的解析同调的有限性和基变化性质。由于技术原因，我们在包含卢宾-塔特群周期的域 K 上进行研究，这使得我们可以用明确的广义赫尔复数来描述解析同调。
Finiteness of analytic cohomology of Lubin-Tate (φL,ΓL)-modules
We prove finiteness and base change properties for analytic cohomology of families of L-analytic -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 generalised Herr complex.
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