Étale twists in noncommutative algebraic geometry and the twisted Brauer space

DOI10.4171/JNCG/11-1-5zbMath1364.14015arXiv1211.6161OpenAlexW2963483798MaRDI QIDQ528836

Benjamin Antieau

Publication date: 16 May 2017

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

Full work available at URL: https://arxiv.org/abs/1211.6161

zbMATH Keywords

Hochschild cohomologyderived categoriesBrauer grouptwisted forms

Mathematics Subject Classification ID

Related Items (2)

Descent for semiorthogonal decompositions ⋮ Derived categories of torsors for abelian schemes

Uses Software

• RelBrauer

Cites Work

• Derived Azumaya algebras and generators for twisted derived categories
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• Index reduction formulas for twisted flag varieties. I
• Stable model categories are categories of modules
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• Homotopy limits, completions and localizations
• Reconstruction of a variety from the derived category and groups of autoequivalences
• Blowing up of non-commutative smooth surfaces
• Curves $\mathcal{C}$ that are cyclic twists of $Y^{2}=X^{3}+c$ and the relative Brauer groups $Br(k(\mathcal{C})/k)$
• Integral transforms and Drinfeld centers in derived algebraic geometry
• Morita Theory for Derived Categories
• Higher algebraic K-theory: I
• Picard Groups for Derived Module Categories
• Relative Brauer Groups of Function Fields of Curves of Genus One
• Derived Equivalences As Derived Functors
• Moduli of objects in dg-categories
• Higher Topos Theory (AM-170)
• On the Commutator Group of a Simple Algebra
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