椭圆曲线的量子动力学

IF 0.7 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2025-05-20 DOI:10.1007/s00010-025-01165-6

Igor V. Nikolaev

引用次数: 0

摘要

在数域k上，通过椭圆曲线\(\mathscr {E}(K)\)的实乘法，我们计算了非交换环面的交叉积\(C^*\) -代数的k理论。这个结果被用来计算\(\mathscr {E}(K)\)的秩和shafarevic - tate群。

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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Quantum dynamics of elliptic curves

We calculate the K-theory of a crossed product \(C^*\)-algebra of the noncommutative torus with real multiplication by elliptic curve \(\mathscr {E}(K)\) over a number field K. This result is used to evaluate the rank and the Shafarevich-Tate group of \(\mathscr {E}(K)\).

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.