有实际乘法的曲面的例子

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2014-02-19 DOI:10.1112/S1461157014000199

A. Elsenhans, J. Jahnel

引用次数: 12

摘要

我们在$\mathbb{Q}$上构造具有实数乘法的显式$K3$曲面。我们的例子是16阶几何皮卡德。对于构造的曲面，计算皮卡德秩的标准方法显然是失效的。

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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Examples of surfaces with real multiplication

We construct explicit $K3$ surfaces over $\mathbb{Q}$ having real multiplication. Our examples are of geometric Picard rank 16. The standard method for the computation of the Picard rank provably fails for the surfaces constructed.

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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.