Completeness and compactness for varieties over local fields

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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.
6 pages

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Algebraic Geometry, 11G25 (primary); 14A10 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/100906

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410346
 http://arxiv.org/abs/math/0410346

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arXiv