Gerbes and the holomorphic Brauer group of complex tori

DOI10.4171/JNCG/96zbMath1262.53022arXiv0811.2746OpenAlexW2164577112MaRDI QIDQ446420

Oren Ben-Bassat

Publication date: 6 September 2012

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2746

zbMATH Keywords

Brauer groupcomplex torusgerbe

Mathematics Subject Classification ID

Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Isogeny (14K02) Differential geometric aspects of gerbes and differential characters (53C08) Stacks and moduli problems (14D23)

Cites Work

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• Kernel algebras and generalized Fourier-Mukai transforms
• Sheaves in topology
• The gerbe of Higgs bundles.
• \(S^1\)-bundles and gerbes over differentiable stacks.
• A gerbe for the elliptic gamma function
• Topological methods for complex-analytic Brauer groups
• The Brauer group of abelian varieties
• Twisting derived equivalences
• Non-commutative tori and Fourier–Mukai duality
• Projective bundles on a complex torus.
• Torus fibrations, gerbes, and duality
• Brauer groups of abelian schemes
• Complex tori
• Loop spaces, characteristic classes and geometric quantization

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