论文标题
在属2中的BSD不变性的有效计算
Efficient computation of BSD invariants in genus 2
论文作者
论文摘要
最近，除了SHA的顺序外，所有桦木和Swinnerton-dyer不变性均已计算出L-punctions和模块化形式数据库中包含的所有曲线的所有曲线。本报告解释了对Arxiv：1711.10409中描述的算法的实施的改进，这些算法需要在合理的时间内计算Tamagawa数字和实际时期。我们还解释了该算法的一些更技术细节，并简要概述用于计算$ L $功能和调节器的特殊价值的方法。
Recently, all Birch and Swinnerton-Dyer invariants, except for the order of Sha, have been computed for all curves of genus 2 contained in the L-functions and Modular Forms Database. This report explains the improvements made to the implementation of the algorithm described in arXiv:1711.10409 that were needed to do the computation of the Tamagawa numbers and the real period in reasonable time. We also explain some of the more technical details of the algorithm, and give a brief overview of the methods used to compute the special value of the $L$-function and the regulator.
