Examples of genuine QM abelian surfaces which are modular

DOI10.1007/s40993-018-0150-xzbMath1456.11069arXiv1804.07225OpenAlexW3103844288MaRDI QIDQ2316329

Ciaran Schembri

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07225

zbMATH Keywords

modularityBianchiFaltings-SerreQM abelian surface

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Modular and automorphic functions (11F03) Galois representations (11F80) Modular correspondences, etc. (11F32)

Related Items (4)

3-torsion and conductor of genus 2 curves ⋮ Corrigendum to “Paramodular abelian varieties of odd conductor" ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ On decomposition of \(\theta_2^{2n}(\tau)\) as the sum of Eisenstein series and cusp forms

Uses Software

• LMFDB
• endomorphisms

Cites Work

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