English

Prime decomposition for the index of a Brauer class

Algebraic Geometry 2015-10-14 v1

Abstract

We prove that the index of a Brauer class satisfies prime decomposition over a general base scheme. This contrasts with our previous result that there is no general prime decomposition of Azumaya algebras.

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Cite

@article{arxiv.1510.03767,
  title  = {Prime decomposition for the index of a Brauer class},
  author = {Benjamin Antieau and Ben Williams},
  journal= {arXiv preprint arXiv:1510.03767},
  year   = {2015}
}

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