论文标题

在椭圆曲线的代数上

On the algebra of elliptic curves

论文作者

Brzeziński, Tomasz

论文摘要

有人认为,非椭圆形曲线接受了由曲线本身独特确定的自然或基本的Abelian堆结构。结果表明,从非椭圆曲线到本身的一组复杂的分析或合理函数是由该堆的内态引起的桁架。

It is argued that a nonsingular elliptic curve admits a natural or fundamental abelian heap structure uniquely determined by the curve itself. It is shown that the set of complex analytic or rational functions from a nonsingular elliptic curve to itself is a truss arising from endomorphisms of this heap.

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