Exceptional zero formulae and a conjecture of Perrin-Riou

DOI10.1007/s00222-015-0606-8zbMath1406.11060arXiv1407.1913OpenAlexW1545265773WikidataQ123277965 ScholiaQ123277965MaRDI QIDQ261527

Rodolfo Venerucci

Publication date: 24 March 2016

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1913

zbMATH Keywords

Heegner points\(p\)-adic Beilinson-Kato elements\(p\)-adic Gross-Zagier formulacyclotomic \(p\)-adic \(L\)-function

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items (15)

On the exceptional zeros of 𝑝-non-ordinary 𝑝-adic 𝐿-functions and a conjecture of Perrin-Riou ⋮ Generalized Kato classes and exceptional zero conjectures ⋮ On the soft \(p\)-converse to a theorem of Gross-Zagier and Kolyvagin ⋮ ON THE EXCEPTIONAL SPECIALIZATIONS OF BIG HEEGNER POINTS ⋮ Derivatives of Beilinson-Flach classes, Gross-Stark formulas and a \(p\)-adic Harris-Venkatesh conjecture ⋮ Generalized Heegner cycles on Mumford curves ⋮ Iwasawa theory for the symmetric square of a modular form ⋮ The exceptional zero phenomenon for elliptic units ⋮ Triple product \(p\)-adic \(L\)-functions for balanced weights ⋮ Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and a conjecture of Perrin-riou ⋮ Heegner points and exceptional zeros of Garrett \(p\)-adic \(L\)-functions ⋮ Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou ⋮ On the \(p\)-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields ⋮ On exceptional zeros of Garrett-Hida \(p\)-adic \(L\)-functions ⋮ The universal \(p\)-adic Gross-Zagier formula

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