A bound for the image conductor of a principally polarized abelian variety with open Galois image

DOI10.1090/bproc/131OpenAlexW3001291082MaRDI QIDQ5081080

Jacob Mayle

Publication date: 1 June 2022

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07229

zbMATH Keywords

principally polarized abelian varietyadelic Galois representation

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10)

Cites Work

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• A bound for the conductor of an open subgroup of \(\mathrm{GL}_2\) associated to an elliptic curve
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Constants in Titchmarsh divisor problems for elliptic curves
• Lifting subgroups of symplectic groups over \(\mathbb Z/ \ell \mathbb Z\)
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• Good reduction of abelian varieties
• Galois properties of points of finite order of elliptic curves
• Hyperelliptic curves with maximal Galois action on the torsion points of their Jacobians
• An open-image theorem for a general class of abelian varieties

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