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模方程

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模方程(modular equation)是一个有模数代数方程。给定一些在模空间中的函数,模方程是一些有关模空间函数的方程,或是一些有关模数的恒等式

最常见到的模方程是和椭圆曲线有关的模量问题。此处的模空间是一维的,因此表示若在模曲线的函数域英语function field of an algebraic variety有两个有理函数FG,会满足模方程P(F,G) = 0,P是二变数的非零复数多项式 。若选择了适当的,非退化的FG,方程P(X,Y) = 0就会定义模曲线。

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模方程
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