论文标题
Henselian贵重田里的扩展基地
Extension bases in Henselian valued fields
论文作者
论文摘要
我们研究了有价值领域的分叉的行为，并为在henselian估值的残基特征零的henseliale估价场中提供了一些足够的条件，以作为扩展基础。值得注意的是，我们考虑任意（潜在的想象中的）碱基，而文献中先前相关的结果仅关注最大完成参数集。这特别是使我们能够表明，分叉与P-ADIC磁场的超副作用的（假想膨胀）相吻合。
We study the behaviour of forking in valued fields, and we give several sufficient conditions for parameter sets in a Henselian valued field of residue characteristic zero to be an extension base. Notably, we consider arbitrary (potentially imaginary) bases, whereas previous related results in the literature only focus on maximally complete sets of parameters. This enables us in particular to show that forking coincides with dividing in (the imaginary expansions of) the ultraproducts of the p-adic fields.
