论文标题
通过单场公理表征有限生成的字段
Characterizing finitely generated fields by a single field axiom
论文作者
论文摘要
我们解决了有限生成的字段的强大基本等效性与同构问题。也就是说，我们表明，对于此类中的每个字段，都有一个一阶句子，该句子以同构为代表性为特征。我们的解决方案是有条件的，在所有其他特征中，特征二的奇异性分辨率和无条件。
We resolve the strong Elementary Equivalence versus Isomorphism Problem for finitely generated fields. That is, we show that for every field in this class there is a first-order sentence which characterizes this field within the class up to isomorphism. Our solution is conditional on resolution of singularities in characteristic two and unconditional in all other characteristics.
