局部域上品种的完整性和compactness
Completeness and compactness for varieties over local fields
摘要：
本文证明了对K是局部域，k是K的子域，X是k上的簇，X是完备的当且仅当对K的每一有限域扩张K'，X（K'）在其强拓扑上是紧的.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
