Prime decomposition for the index of a Brauer class

• Benjamin Antieau ^[1] ; Ben Williams ^[2]
  1. [1] University of Illinois at Chicago

     University of Illinois at Chicago

     City of Chicago, Estados Unidos

     
  2. [2] University of British Columbia

     University of British Columbia

     Canadá

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 17, Nº 1, 2017, págs. 277-285
• Idioma: inglés
• Enlaces
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• Resumen

  • 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.