Periods of Modular GL2-type Abelian Varieties and p-adic Integration

DOI10.1080/10586458.2017.1284624zbMath1443.11125arXiv1607.05465OpenAlexW2964253755MaRDI QIDQ4689861

Xavier Guitart, Marc Masdeu

Publication date: 22 October 2018

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

Full work available at URL: https://arxiv.org/abs/1607.05465

zbMATH Keywords

\(p\)-adic uniformizationmodular abelian varieties\(p\)-adic \(L\)-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)

Related Items

A \(p\)-adic study of the Richelot isogeny with applications to periods of certain genus 2 curves, Computing \(\mathcal{L}\)-invariants via the Greenberg-Stevens formula, An automorphic approach to Darmon points, Computing 𝑝-adic periods of abelian varieties from automorphic forms

Uses Software

• Magma
• ecdata

Cites Work

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