Finiteness theorems for potentially equivalent Galois representations: Extension of Faltings’ finiteness criteria

DOI10.1090/proc/15856zbMath1526.11024arXiv2012.15598OpenAlexW4206529152WikidataQ122205930 ScholiaQ122205930MaRDI QIDQ6043751

C. S. Rajan, Unnamed Author

Publication date: 24 May 2023

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

Full work available at URL: https://arxiv.org/abs/2012.15598

zbMATH Keywords

Galois representationsFaltings' finiteness criteriapotentially equivalent representations

Mathematics Subject Classification ID

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

Cites Work

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• Finiteness theorems for abelian varieties over number fields.
• There are no abelian varieties over \(\mathbb Z\).
• Quelques applications du théorème de densité de Chebotarev
• A note on ramification of the Galois representation on the fundamental group of an algebraic curve. II
• Genus two curves with everywhere twisted good reduction
• On the structure of locally potentially equivalent Galois representations
• Good reduction of abelian varieties
• Locally potentially equivalent Galois representations

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