2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100906This 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 pagesAlgebraic Geometry11G25 (primary); 14A10 (secondary)text