平面格中有理角的分类

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2020-11-30 DOI:10.1090/BULL/1723

R. Dvornicich, F. Veneziano, U. Zannier

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引用次数: 0

摘要

本文讨论了平面晶格中点的构型，这些点决定了ππ的有理倍数的角度。我们将研究在给定的晶格中可能出现多少这样的角度，以及在哪些位置，从而允许晶格任意变化。事实证明，这种分类远没有预期的那么简单，甚至导致了涉及正亏格的某些代数曲线上的有理点的参数化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Classification of rational angles in plane lattices

This paper is concerned with configurations of points in a plane lattice which determine angles that are rational multiples of π \pi . 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.

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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.