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Completeness and compactness for varieties over local fields

Oliver Lorscheid
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Abstract

This paper shows that for K a local field, k a subfield of K and X a variety over k, X is complete if and only if for every finite field extension K' of K, X(K') is compact in its strong topology.

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Oliver Lorscheid. 2006-08-16. Completeness and compactness for varieties over local fields. https://arxiv.org/abs/math/0410346

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