Abelian surfaces with fixed 3-torsion

DOI10.2140/obs.2020.4.91zbMath1457.11080arXiv2003.00604OpenAlexW3114694381MaRDI QIDQ5853792

Shiva Chidambaram, David P. Roberts, Frank Calegari

Publication date: 11 March 2021

Published in: Open Book Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00604

zbMATH Keywords

Galois representationsabelian surfacesthree torsion

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80)

Related Items (5)

Multiradical isogenies ⋮ Towards a classification of entanglements of Galois representations attached to elliptic curves ⋮ Mod-\(p\) Galois representations not arising from abelian varieties ⋮ Twists of the Burkhardt quartic threefold ⋮ Rationality of twists of the Siegel modular variety of genus 2 and level 3

Cites Work

• Unnamed Item
• Construction of elliptic curves with high rank via the invariants of the Weyl groups
• Elliptic modularity for octahedral Galois representations
• The geometry of some special arithmetic quotients
• The Hessian of a genus one curve
• Arithmetic aspects of the Burkhardt quartic threefold
• Some modular abelian surfaces
• Invariants of Finite Groups Generated by Reflections

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