The Brauer group is not a derived invariant

Abstract

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.

6 pages. v4: weakened the main proposition slightly after finding errors in a reference, but the result in the title still holds

References in corpus (1)

• The Spectral Construction for a (1,8)-Polarized Family of Abelian Varieties

Cited by in corpus (6)

• Hodge numbers are not derived invariants in positive characteristic
• Mirror Symmetry and Projective Geometry of Fourier-Mukai Partners
• Calabi-Yau threefolds over finite fields and torsion in cohomologies
• A Strange Family of Calabi-Yau 3-folds
• A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold
• Integration of Voevodsky motives