Modular Abelian Varieties Over Number Fields

DOI10.4153/CJM-2012-040-2zbMath1294.11096arXiv0905.2550OpenAlexW3125111383MaRDI QIDQ5402168

Xavier Guitart, Jordi Quer

Publication date: 6 March 2014

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2550

zbMATH Keywords

modular formmodular abelian variety\(\mathrm{GL}_2\)-type variety

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (7)

Elliptic curves over totally real quartic fields not containing √5 are modular ⋮ On $L$-functions of quadratic $\mathbb {Q}$-curves ⋮ Remarks on strongly modular Jacobian surfaces ⋮ Strongly modular models of ℚ-curves ⋮ Fields of definition of elliptic $k$-curves and the realizability of all genus 2 Sato–Tate groups over a number field ⋮ On the modularity level of modular abelian varieties over number fields ⋮ Non-critical equivariant L-values of modular abelian varieties

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