Completeness and compactness for varieties over local fields
代数几何
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0410346,
title = {Completeness and compactness for varieties over local fields},
author = {Oliver Lorscheid},
journal= {arXiv preprint arXiv:math/0410346},
year = {2007}
}
备注
6 pages