Linear independence on simple abelian varieties

IF 0.6 3区 数学 Q3 MATHEMATICS
Duc Hiep Pham
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引用次数: 0

Abstract

In this paper, we establish new results on complex and p-adic linear independence on general simple abelian varieties defined over the field of algebraic numbers \(\overline{{\mathbb {Q}}}\). In particular, these results extend some previous results on that concerning elliptic curves and simple abelian varieties with complex multiplication defined over \(\overline{{\mathbb {Q}}}\).

简单无性变上的线性独立性
在本文中,我们建立了定义在代数数域 \(\overline{\{mathbb {Q}}\)上的一般简单长方体上的复数和 p-adic 线性独立性的新结果。)特别是,这些结果扩展了之前关于椭圆曲线和定义在 \(\overline{\{mathbb {Q}}\) 上的具有复乘法的简单无常变项的一些结果。)
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
CiteScore
1.40
自引率
0.00%
发文量
67
审稿时长
>12 weeks
期刊介绍: Periodica Mathematica Hungarica is devoted to publishing research articles in all areas of pure and applied mathematics as well as theoretical computer science. To be published in the Periodica, a paper must be correct, new, and significant. Very strong submissions (upon the consent of the author) will be redirected to Acta Mathematica Hungarica. Periodica Mathematica Hungarica is the journal of the Hungarian Mathematical Society (János Bolyai Mathematical Society). The main profile of the journal is in pure mathematics, being open to applied mathematical papers with significant mathematical content.
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