贝利拉特地图

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2023-01-01 DOI:10.2206/kyushujm.77.221

Ayberk ZEYTIN

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引用次数: 1

摘要

在这项工作中，我们使用基本的工具，通过明确地确定它们的分支数据来确定那些同时是Belyi图的latt图。结果表明，在一般情况下，即当自同构群为Z/2Z时，如果同基因是2倍或4倍，对应的latattils映射族是Belyi映射。具有额外自同构的椭圆曲线也决定了Belyi映射的族。我们提供了一些Belyi latt图的例子，并给出了这些图的公式，这些公式可用于编写任意高度的Belyi图。最后，我们讨论了这类Belyi对的定义领域。

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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BELYI LATTÈS MAPS

In this work, using elementary tools we determine those Lattès maps which are at the same time Belyi maps by explicitly determining their ramification data. It turns out that in the generic case, i.e. when the automorphism group is Z/2Z, the corresponding family of Lattès maps are Belyi maps if the isogeny is multiplication by two or four. Elliptic curves with extra automorphisms also determine families of Belyi maps. We provide examples of some Belyi Lattès maps together with a formula for such maps which may be used to write Belyi maps of arbitrarily high degree. We conclude the paper with a discussion of the field of definition of such Belyi pairs.

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.