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

Asakura, Masanori; Chida, Masataka; Brunault, Francois

Research in the Mathematical Sciences, 2023, 10(1), 11

Permalink : https://hdl.handle.net/2115/91491

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Perrin-Riou-conj-v1	pdf	380 KB	186

アクセス権	open access
URI	https://hdl.handle.net/2115/91491
タイトル	A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over Q
著者	Asakura, Masanori ; Chida, Masataka ; Brunault, Francois
e-Rad_Researcher 60322286 著者名 Asakura, Masanori
e-Rad_Researcher 00451518 著者名 Chida, Masataka
著者名 Brunault, Francois
言語	英語
発行日	2023-03
出版者	Springer
収録物名	Research in the Mathematical Sciences
巻(号)	10(1)
ページ	11
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s40687-023-00374-2
PISSN	2522-0144
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1007/s40687-023-00374-2