Computing 𝑝-adic periods of abelian varieties from automorphic forms

DOI10.1090/conm/732/14787zbMath1471.11203OpenAlexW2954826512MaRDI QIDQ5241826

Marc Masdeu, Xavier Guitart

Publication date: 4 November 2019

Published in: Automorphic Forms and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/732/14787

zbMATH Keywords

\(p\)-adic periods\(\mathcal{L}\)-invariants

Mathematics Subject Classification ID

(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)

Cites Work

• Unnamed Item
• \(\mathcal L\)-invariants and Shimura curves
• \(\mathcal L\)-invariants and Darmon cycles attached to modular forms
• Stark-Heegner points on elliptic curves defined over imaginary quadratic fields
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Stark-Heegner points and the cohomology of quaternionic Shimura varieties
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• On special zeros of \(p\)-adic \(L\)-functions of Hilbert modular forms
• Rigid analytic uniformization of curves and the study of isogenies
• Darmon points on elliptic curves over number fields of arbitrary signature
• Darmon’s Points and Quaternionic Shimura Varieties
• On rigid analytic uniformizations of Jacobians of Shimura curves
• p-adic periods of genus two Mumford-Schottky curves.
• Periods of Modular GL₂-type Abelian Varieties and p-adic Integration
• Modular curves of genus 2
• Stark–Heegner points on modular Jacobians
• Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.

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