Transcendental Brauer groups of products of CM elliptic curves

DOI10.1112/jlms/jdv058zbMath1398.14028arXiv1501.04519OpenAlexW1911865901MaRDI QIDQ2801739

Rachel Newton

Publication date: 21 April 2016

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

Full work available at URL: https://arxiv.org/abs/1501.04519

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (K3) surfaces and Enriques surfaces (14J28) Arithmetic ground fields for abelian varieties (14K15) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items (7)

An example of a Brauer-Manin obstruction to weak approximation at a prime with good reduction ⋮ Explicit uniform bounds for Brauer groups of singular \(K3\) surfaces ⋮ ABELIAN -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES ⋮ Arithmetic of K3 Surfaces ⋮ Finiteness theorems for K3 surfaces and abelian varieties of CM type ⋮ Complex multiplication and Brauer groups of \(K3\) surfaces ⋮ A uniform bound on the Brauer groups of certain log $K3$ surfaces

Uses Software

• LMFDB

Cites Work

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• On the Brauer group of diagonal quartic surfaces
• Diagonal quartic surfaces and transcendental elements of the Brauer group
• A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• Transcendental Brauer-Manin obstruction on a pencil of elliptic curves
• Good reduction of the Brauer–Manin obstruction

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