Completeness and compactness for varieties over local fields

Details Completeness and compactness for varieties over local fields Completeness and compactness for varieties over local fields

2004-10-15

arxiv.org/abs/math/0410346v2

Mathematics

Algebraic Geometry

6 pages

Scientific paper

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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