Relations between the Chow motive and the noncommutative motive of a smooth projective variety

• Marcello Bernardara ^[1] ; Gonçalo Tabuada ^[2]
  1. [1] Paul Sabatier University

     Paul Sabatier University

     Arrondissement de Toulouse, Francia

     
  2. [2] Massachusetts Institute of Technology

     Massachusetts Institute of Technology

     City of Cambridge, Estados Unidos

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 11 (November 2015), 2015, págs. 5068-5077
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.05.002
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• Resumen

  • In this note we relate the notions of Lefschetz type, decomposability, and isomorphism for Chow motives with the notions of trivial type, decomposability, and isomorphism for noncommutative motives. Some examples, counter-examples, and applications are also described.