计算模阿贝尔曲面的伽罗瓦表示

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2014-01-01 DOI:10.1112/S1461157014000205

Jinxiang Zeng

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引用次数: 2

摘要

设f∈s2 (Γ 0 (N))是一种归一化的新形式，使得Shimura对f附加的阿贝尔变量a f是二属曲线的雅可比矩阵。我们给出了一种有效的算法来计算与这些新形式相关的伽罗瓦表示。

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Computing Galois representations of modular abelian surfaces

Let f ∈ S 2 (Γ 0 ( N )) be a normalized newform such that the abelian variety A f attached by Shimura to f is the Jacobian of a genus-two curve. We give an eﬃcient algorithm for computing Galois representations associated to such newforms.

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.