A REINTERPRETATION OF EMERTON’S p-ADIC BANACH SPACES
نویسنده
چکیده
It is shown that the p-adic Banach spaces introduced by Emerton, are isomorphic to the cohomology groups of the sheaf of continuous Qp-valued functions on a certain space. Some applications of this result are discussed.
منابع مشابه
On Emerton ’ S
The purpose of the current paper is to introduce some new methods for studying the p-adic Banach spaces introduced by Emerton [9]. We first relate these spaces to more familiar sheaf cohomology groups. As an application, we obtain a more general version of Emerton’s spectral sequence. We also calculate the spaces in some easy cases. As a consequence, we obtain a number of vanishing theorems.
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تاریخ انتشار 2008