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arxiv: 1306.6538 · v4 · pith:Q4SRDPZVnew · submitted 2013-06-27 · 🧮 math.AG

The Brauer group is not a derived invariant

classification 🧮 math.AG
keywords brauerdifferentgroupscalabi-yauderivedderived-equivalentexamplesfolds
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In this short note we observe that the recent examples of derived-equivalent Calabi-Yau 3-folds with different fundamental groups also have different Brauer groups, using a little topological K-theory.

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    Authors define Lichtenbaum-Quillen dimension of complex varieties from K-theory stabilization and apply it to rationality obstructions and new cases of the integral Hodge conjecture.