论文标题
WeierStrass $ \ wp $函数扩展订购的真实字段的不可定力结果
A nondefinability result for expansions of the ordered real field by the Weierstrass $\wp$ function
论文作者
论文摘要
假设$ω$是一个复杂的晶格，在复杂的共轭下关闭，并且$ i $是一个很小的真实间隔，而$ d $是$ \ mathbb {c} $中的光盘。然后，限制$ \ wp | _d $在结构$（\ bar {\ mathbb {r}}}，\ wp | _i）$中可以定义，并且仅当晶格$ω$具有复杂的乘法。这是在确定性方面具有复杂乘法的晶格。
Suppose that $Ω$ is a complex lattice that is closed under complex conjugation and that $I$ is a small real interval, and that $D$ is a disc in $ \mathbb{C}$. Then the restriction $\wp|_D$ is definable in the structure $(\bar{\mathbb{R}},\wp|_I)$ if and only if the lattice $Ω$ has complex multiplication. This characterises lattices with complex multiplication in terms of definability.
