On Emerton's $p$-adic Banach spaces

Richard Hill

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arXiv · 0708.0420

On Emerton's $p$-adic Banach spaces

Richard Hill

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Abstract

The purpose of the current paper is to introduce some new methods for studying the $p$-adic Banach spaces introduced by Emerton \cite{emerton}. 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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Richard Hill. 2007-08-03. On Emerton's $p$-adic Banach spaces. https://arxiv.org/abs/0708.0420

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