A K3 surface related to Leonardo Pisano’s work on congruent numbers

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2023-09-01 DOI:10.1016/j.exmath.2023.03.003

Martin Djukanović, Jaap Top

引用次数: 0

Abstract

This note recalls an early 13th century result on congruent numbers by Leonardo Pisano (“Fibonacci”), and shows how it relates to a specific much studied K3 surface and to an elliptic fibration on this surface. As an aside, the discussion reveals how, via explicit maps of degree two, the surface is covered by the Fermat quartic surface and also covers one of the two famous ‘most algebraic K3 surfaces’.

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与Leonardo Pisano关于全等数的研究有关的K3曲面

这篇笔记回顾了13世纪早期莱昂纳多·皮萨诺(“斐波那契”)关于同余数的一个结果，并展示了它与一个特定的被广泛研究的K3表面和这个表面上的椭圆纤颤的关系。作为题外话，讨论揭示了如何通过二阶显式映射，曲面被费马四次曲面覆盖，也覆盖了两个著名的“最代数的K3曲面”之一。

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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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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