Going up of the u -invariant over formally real fields

• Autores: Claus Schubert
• Localización: Mathematische Annalen, ISSN 0025-5831, Vol. 338, Nº. 3, 2007, págs. 757-765
• Idioma: inglés
• DOI: 10.1007/s00208-007-0095-1
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• Resumen

  • Let F be a field of characteristic not 2, and assume that F has finite reduced stability. Let K/F be any finite extension. We prove that if the general u-invariant u(F) is finite, then u(K) is finite.