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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.
期刊介绍：
The Journal of Number Theory (JNT) features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied areas. A valuable resource for mathematicians, the journal provides an international forum for the publication of original research in this field.
The Journal of Number Theory is encouraging submissions of quality, long articles where most or all of the technical details are included. The journal now considers and welcomes also papers in Computational Number Theory.
Starting in May 2019, JNT will have a new format with 3 sections:
JNT Prime targets (possibly very long with complete proofs) high impact papers. Articles published in this section will be granted 1 year promotional open access.
JNT General Section is for shorter papers. We particularly encourage submission from junior researchers. Every attempt will be made to expedite the review process for such submissions.
Computational JNT . This section aims to provide a forum to disseminate contributions which make significant use of computer calculations to derive novel number theoretic results. There will be an online repository where supplementary codes and data can be stored.
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