论文标题
关闭操作员尊重模块化$ j $ function
A closure operator respecting the modular $j$-function
论文作者
论文摘要
我们证明了模块化$ j $功能的某些存在闭合问题的无条件案例。为此，我们表明，对于任何有限生成的字段，我们都可以找到一组“方便”的生成器。这是通过证明在任何配备功能的字段中复制模块化$ j $功能及其衍生物的代数行为的任何领域，可以通过三种等效方式定义自然闭合操作员。
We prove some unconditional cases of the Existential Closedness problem for the modular $j$-function. For this, we show that for any finitely generated field we can find a "convenient" set of generators. This is done by showing that in any field equipped with functions replicating the algebraic behaviour of the modular $j$-function and its derivatives, one can define a natural closure operator in three equivalent different ways.
