关于Chudnovsky Fuchsian方程的注记
A note on Chudnovsky's Fuchsian equations
摘要：
我们发现，四个特殊的Fuchsian方程，每个由四个抛物奇点，被称为Chudnovsky方程，相互转化为代数变换。我们描述这些方程和他们的对应环上的等价性。后者是椭圆曲线上的Fuchsian方程，它们的等价性由超越变换来表征，这些超越变换用椭圆函数和θ函数来明确表示。
英文摘要：
We show that four exceptional Fuchsian equations, each determined by the four parabolic singularities, known as the Chudnovsky equations, are transformed into each other by algebraic transformations. We describe equivalence of these equations and their counterparts on tori. The latter are the Fuchsian equations on elliptic curves and their equivalence is characterized by transcendental transformations which are represented explicitly in terms of elliptic and theta functions.
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