椭圆曲线族的Frobenius常数

IF 0.6 4区数学 Q3 MATHEMATICS

Quarterly Journal of Mathematics Pub Date : 2023-08-23 DOI:10.1093/qmath/haad034

Bidisha Roy, Masha Vlasenko

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引用次数: 0

摘要

本文讨论了代数几何中描述微分方程Frobenius解的单态的一类周期Frobenius常数。我们将与椭圆曲线族相关的Frobenius常数表示为模形式的迭代积分。利用模形式的周期理论，我们用zeta值见证了其中的一些常数。

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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Frobenius constants for families of elliptic curves

Abstract The paper deals with a class of periods, Frobenius constants, which describe monodromy of Frobenius solutions of differential equations arising in algebraic geometry. We represent Frobenius constants related to families of elliptic curves as iterated integrals of modular forms. Using the theory of periods of modular forms, we then witness some of these constants in terms of zeta values.

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来源期刊

Quarterly Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.