A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over $${\mathbb {Q}}$$

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  • A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over Q

説明

Restricting ourselves to elliptic curves over 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.

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