Henselian implies large

• 成果类型: Article
• 署名作者: Pop, Florian
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.172.2183
• 发表日期: 2010
• 页码: 2183-2195
• 关键词: embedding problems; galois

摘要

In this note we show that the quotient field of a domain which is Henselian with respect to a nontrivial ideal is a large field, and give some applications of this fact, using a specialization theorem for ramified covers of the line over (generalized) Krull fields.