English

The Brauer group is not a derived invariant

Algebraic Geometry 2018-06-18 v4

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.

Keywords

Cite

@article{arxiv.1306.6538,
  title  = {The Brauer group is not a derived invariant},
  author = {Nicolas Addington},
  journal= {arXiv preprint arXiv:1306.6538},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-22T00:41:30.105Z