在代数星空中寻找刚性

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematics and the Arts Pub Date : 2021-07-13 DOI:10.1080/17513472.2022.2045048

Gabriel Dorfsman-Hopkins, Shuchang Xu

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引用次数: 2

摘要

我们在复平面上创建代数整数的图，根据各种算术不变量探索点的大小的影响。我们着重于伽罗瓦理论不变量，特别是创建强调伽罗瓦群不是完全对称群的代数整数的图-这些整数我们称之为刚性。然后，我们对所得到的图像进行了一些分析，为未来关于所谓刚性代数整数的几何研究提出了一些途径。图形抽象

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Searching for rigidity in algebraic starscapes

We create plots of algebraic integers in the complex plane, exploring the effect of sizing the points according to various arithmetic invariants. We focus on Galois theoretic invariants, in particular creating plots which emphasize algebraic integers whose Galois group is not the full symmetric group−these integers we call rigid. We then give some analysis of the resulting images, suggesting avenues for future research about the geometry of so-called rigid algebraic integers. GRAPHICAL ABSTRACT

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来源期刊

Journal of Mathematics and the Arts MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

0.50

自引率

0.00%

发文量