REDUCTIONS OF POINTS ON ALGEBRAIC GROUPS, II

DOI10.1017/S0017089520000336zbMath1475.11119arXiv1802.08527OpenAlexW2986332469MaRDI QIDQ5858962

Antonella Perucca, Peter Bruin

Publication date: 15 April 2021

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08527

zbMATH Keywords

abelian variety\(\ell\)-adic integrals

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80) Group varieties (14L10)

Related Items (1)

Some uniform bounds for elliptic curves over \(\mathbb{Q} \)

Uses Software

• SageMath
• LMFDB

Cites Work

• Prescribing valuations of the order of a point in the reductions of abelian varieties and tori
• The 1-eigenspace for matrices in \(\mathrm{GL}_{2}(\mathbb Z_{\ell})\)
• Galois properties of points of finite order of elliptic curves
• COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
• Almost all elliptic curves are Serre curves
• Galois theory of iterated endomorphisms

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