Rationality of twists of the Siegel modular variety of genus 2 and level 3

DOI10.1090/proc/15854zbMath1497.11162arXiv2009.00194OpenAlexW3201215772MaRDI QIDQ5863140

Frank Calegari, Shiva Chidambaram

Publication date: 11 March 2022

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

Full work available at URL: https://arxiv.org/abs/2009.00194

zbMATH Keywords

Galois representationmoduli spaceSiegel modular variety

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Rationality questions in algebraic geometry (14E08)

Related Items (2)

Mod-\(p\) Galois representations not arising from abelian varieties ⋮ Twists of the Burkhardt quartic threefold

Uses Software

• Magma
• GitHub

Cites Work

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• The Magma algebra system. I: The user language
• Abelian surfaces over totally real fields are potentially modular
• A desingularization problem in the theory of Siegel modular functions
• The Siegel modular variety of degree two and level three
• The groups of order at most 2000
• La $R$-équivalence sur les tores
• Arithmetic aspects of the Burkhardt quartic threefold
• Abelian surfaces with fixed 3-torsion

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