Completeness and compactness for varieties over local fields

2004/10/15 by Oliver Lorscheid, Lorscheid, Oliver
Mathematics · #11G25 (primary) #14A10 (secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:11G25 #msc:14A10

paper · pdf · doi:10.48550/arxiv.math/0410346

6 pages

arxiv created 2006/08/16 · arxiv updated 2009/12/01

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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