Mod-\(p\) Galois representations not arising from abelian varieties

DOI10.1016/j.jnt.2024.01.014arXiv2011.00158OpenAlexW3097469751MaRDI QIDQ6190802

Shiva Chidambaram

Publication date: 6 March 2024

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

Full work available at URL: https://arxiv.org/abs/2011.00158

zbMATH Keywords

Galois cohomologyembedding problemGalois representationsnon-split Cartan

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80) Galois cohomology (11R34)

Cites Work

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• Abelian surfaces over totally real fields are potentially modular
• Mod \(p\) representations on elliptic curves
• Néron Models
• Existence of Nonelliptic modlGalois Representations for Everyl> 5
• Abelian surfaces with fixed 3-torsion
• Rationality of twists of the Siegel modular variety of genus 2 and level 3

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