Twists of the Burkhardt quartic threefold

DOI10.1007/s40993-022-00372-3OpenAlexW4296956924MaRDI QIDQ2081521

Eugene Filatov, Nils Bruin

Publication date: 13 October 2022

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

Full work available at URL: https://arxiv.org/abs/2207.04393

zbMATH Keywords

rational pointsKummer surfacesalgebraic moduliarithmetic of algebraic curvesfield of definition obstructions

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Abelian varieties of dimension (> 1) (11G10) Algebraic moduli of abelian varieties, classification (14K10) Arithmetic aspects of modular and Shimura varieties (11G18)

Cites Work

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• Abelian surfaces over totally real fields are potentially modular
• The geometry of some special arithmetic quotients
• The Brauer Group of a Commutative Ring
• A construction of non-cyclic normal division algebras
• Arithmetic aspects of the Burkhardt quartic threefold
• Abelian surfaces with fixed 3-torsion
• Rationality of twists of the Siegel modular variety of genus 2 and level 3

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