论文标题
$ p $ -adic beilinson的数值方法，用于椭圆形曲线$ \ mathbb {q} $
A numerical approach toward the $p$-adic Beilinson conjecture for elliptic curves over $\mathbb{Q}$
论文作者
论文摘要
我们将自己限制在$ \ mathbb {q} $上的椭圆曲线上，我们重新制定了由于Perrin-riou而引起的$ p $ -ADIC BEILINSON猜想，这是根据我们的计算方法定制的。然后，我们开发了一种新算法，用于$ p $ adic beilinson猜想的数值验证，该算法基于刚性共同体和$ f $ isocrystals的理论。
Restricting ourselves to elliptic curves over $\mathbb{Q}$, we reformulate the $p$-adic Beilinson conjecture due to Perrin-Riou, which is customized to our computational approach. We then develop a new algorithm for numerical verifications of the $p$-adic Beilinson conjecture, which is based on the theory of rigid cohomology and $F$-isocrystals.
