Derived Beilinson-Flach elements and the arithmetic of the adjoint of a modular form

DOI10.4171/JEMS/1054zbMath1485.11092arXiv1806.10022MaRDI QIDQ2039576

Óscar Rivero, Victor Rotger

Publication date: 5 July 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10022

zbMATH Keywords

special values\(p\)-adic \(L\)-functionsexceptional zerosBeilinson-Flach elementsHida-Rankin convolution

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Arithmetic aspects of modular and Shimura varieties (11G18) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (5)

On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions ⋮ Derivatives of Beilinson-Flach classes, Gross-Stark formulas and a \(p\)-adic Harris-Venkatesh conjecture ⋮ \(\mathscr{L}\)-invariants of Artin motives ⋮ On the L‐invariant of the adjoint of a weight one modular form ⋮ The exceptional zero phenomenon for elliptic units

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