平面格中有理角的分类
Classification of rational angles in plane lattices
AI总结：
本文研究平面格中可形成 π 的有理倍数角的点构型，通过允许格任意变化来分类这些角的数量与位置，并揭示其与正亏格代数曲线上有理点参数化的深刻联系。
摘要：
本文研究平面格中决定 π 的有理倍数角的点构型。我们将考察在给定格中可能出现多少个此类角及其位置，并允许格任意变化。该分类结果远比预期复杂，甚至会引出涉及某些正亏格代数曲线上有理点的参数化。《美国数学会通报》。
英文摘要：
This paper is concerned with configurations of points in a plane lattice which determine angles that are rational multiples of $π$. We shall study how many such angles may appear in a given lattice and in which positions, allowing the lattice to vary arbitrarily. This classification turns out to be much less simple than could be expected, leading even to parametrizations involving rational points on certain algebraic curves of positive genus.Bulletin of the American Mathematical Society
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
