Plectic \(p\)-adic invariants

DOI10.1016/j.aim.2022.108484OpenAlexW3157553062MaRDI QIDQ2161284

Marc Masdeu, Michele Fornea, Xavier Guitart

Publication date: 4 August 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12566

zbMATH Keywords

elliptic curvesBSDplecticStark-Heegner

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Computational number theory (11Y99)

Related Items (2)

Plectic Stark-Heegner points ⋮ The universal \(p\)-adic Gross-Zagier formula

Uses Software

• Magma
• SageMath

Cites Work

• Unnamed Item
• Stark-Heegner points and the cohomology of quaternionic Shimura varieties
• Heegner points and derivatives of \(L\)-series
• On the conjecture of Birch and Swinnerton-Dyer
• \(p\)-adic uniformization of unitary Shimura varieties. II
• The Magma algebra system. I: The user language
• A converse to a theorem of Gross, Zagier, and Kolyvagin
• The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
• Overconvergent cohomology and quaternionic Darmon points
• Darmon points on elliptic curves over number fields of arbitrary signature
• Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions
• Introduction to plectic cohomology
• An automorphic approach to Darmon points
• Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
• Leading terms of anticyclotomic Stickelberger elements and 𝑝-adic periods
• Derived P-Adic Heights
• Heights of Heegner points on Shimura curves.
• Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.

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