The derived functors of unramified cohomology

• Bruno Kahn ^[1] ; R. Sujatha ^[2]
  1. [1] Institut de Mathématiques de Jussieu

     Institut de Mathématiques de Jussieu

     París, Francia

     
  2. [2] University of British Columbia

     University of British Columbia

     Canadá

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 2, 2018, págs. 1121-1146
• Idioma: inglés
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• Resumen

  • We study the first “derived functors of unramified cohomology” in the sense of Kahn and Sujatha (IMRN 2016. doi: 10.1093/imrn/rnw184), applied to the sheaves Gm and K2 . We find interesting connections with classical cycle-theoretic invariants of smooth projective varieties, involving notably a version of the Griffiths group and the group of indecomposable (2, 1)-cycles.