Alternating forms and the Brauer group of a geometric field

• Autores: Eric S. Brussel
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 7, 2007, págs. 3025-3069
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-03988-8
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• Resumen

  • We compute the theory of for any proabelian group , using a natural isomorphism with the group of continuous alternating forms. We use this to establish a sort of generic behavioral ideal, or role model, for the Brauer group Br of a geometric field of characteristic zero. We show this ideal is attained in several interesting cases