Brauer Groups on K3 Surfaces and Arithmetic Applications

DOI10.1007/978-3-319-46852-5_9zbMath1376.14040arXiv1404.5460OpenAlexW2156383379MaRDI QIDQ5354985

Sho Tanimoto, Justin Sawon, Kelly McKinnie, Anthony Várilly-Alvarado

Publication date: 6 September 2017

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5460

zbMATH Keywords

Brauer groupsweak approximation\(K3\) surfacesprojective dualityspecial cubic fourfolds

Mathematics Subject Classification ID

Rational points (14G05) (K3) surfaces and Enriques surfaces (14J28) Brauer groups of schemes (14F22)

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Algebraic geometry: moduli spaces, birational geometry and derived aspects. Abstracts from the workshop held July 10--16, 2022 ⋮ ABELIAN -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES ⋮ Level structures on abelian varieties, Kodaira dimensions, and Lang's conjecture ⋮ Arithmetic of K3 Surfaces ⋮ Kodaira dimension of moduli of special cubic fourfolds ⋮ Odd order obstructions to the Hasse principle on general K3 surfaces ⋮ Brauer-Manin obstructions on degree 2 \(K3\) surfaces ⋮ A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold ⋮ Moduli spaces of twisted K3 surfaces and cubic fourfolds ⋮ Reduction of Brauer classes on K3 surfaces, rationality and derived equivalence ⋮ Contractions of hyper-Kähler fourfolds and the Brauer group

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