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pro vyhledávání: '"Rodolfo Venerucci"'
Publikováno v:
Milan Journal of Mathematics. 89:241-261
This article proves a case of the p-adic Birch and Swinnerton–Dyer conjecture for Garrett p-adic L-functions of (Bertolini et al. in On p-adic analogues of the Birch and Swinnerton–Dyer conjecture for Garrett L-functions, 2021), in the imaginary
This article proves a case of the p-adic Birch and Swinnerton-Dyer conjecture for Garrett p-adic L-functions of [6], in the exceptional zero setting of extended analytic rank 2.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d22d9b0b9a1542888a6f7c66a5adcbdf
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85139189500
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85139189500
Autor:
Rodolfo Venerucci
Publikováno v:
Commentarii Mathematici Helvetici. 91:397-444
Let $A/\mathbb{Q}$ be an elliptic curve having split multiplicative reduction at an odd prime $p$. Under some mild technical assumptions, we prove the statement: $$rank_{\mathbb{Z}}A(\mathbb{Q})=1 \ \ and\ \ \ \#\Big(\underline{III}(A/\mathbb{Q})[p^\
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319450315
We prove the p-part of the Birch and Swinnerton-Dyer conjecture for elliptic curves of analytic rank one for most ordinary primes.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12780628db3e1aa40b9358bf53343e67
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=84984798763
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=84984798763
Autor:
Rodolfo Venerucci
Let $A/\mathbb{Q}$ be an elliptic curve with split multiplicative reduction at a prime $p$. We prove (an analogue of) a conjecture of Perrin-Riou, relating $p$-adic Beilinson$-$Kato elements to Heegner points in $A(\mathbb{Q})$, and a large part of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fc072fb418ca0d9e0542adeb48e98d7
http://arxiv.org/abs/1407.1913
http://arxiv.org/abs/1407.1913