Tensor-triangular fields: ruminations

• Paul Balmer ^[3] ; Henning Krause ^[1] ; Greg Stevenson ^[2]
  1. [1] Bielefeld University

     Bielefeld University

     Kreisfreie Stadt Bielefeld, Alemania

     
  2. [2] University of Glasgow

     University of Glasgow

     Reino Unido

     
  3. [3] UCLA, USA

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 25, Nº. 1, 2019
• Idioma: inglés
• DOI: 10.1007/s00029-019-0454-2
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• Resumen

  • We examine the concept of field in tensor-triangular geometry. We gather examples and discuss possible approaches, while highlighting open problems. As the construction of residue tt-fields remains elusive, we instead produce suitable homological tensor-functors to Grothendieck categories.