English

Localizing motives of Azumaya algebras

Algebraic Geometry 2025-09-03 v1 Algebraic Topology K-Theory and Homology

Abstract

We prove that the natural map from the derived Brauer group of a qcqs scheme XX to the Picard group of XX-linear motives is injective, extending results of Tabuada and Tabuada-Van den Bergh.

Keywords

Cite

@article{arxiv.2509.01507,
  title  = {Localizing motives of Azumaya algebras},
  author = {Maxime Ramzi},
  journal= {arXiv preprint arXiv:2509.01507},
  year   = {2025}
}

Comments

13 pages, comments welcome!