• Title of article

    A Remark on a Result of Huber and Kahn

  • Author/Authors

    Habibi ، Somayeh Department of Mathematics - Faculty of Mathematics and Computer Science - Amirkabir University of Technology , Rahmati ، Farhad Department of Mathematics - Faculty of Mathematics and Computer Science - Amirkabir University of Technology

  • From page
    1
  • To page
    9
  • Abstract
    A. Huber and B. Kahn construct a relative slice filtration on a principal T-bundle X over Y, for smooth Y. As a consequence of their result, one can observe that the mixed Tateness of the motive M(Y), associated to the smooth scheme Y, implies that the motive M(X) is mixed Tate. In this note we prove the inverse implication for a principal G-bundle, for a split reductive group G.
  • Keywords
    Voevodsky motives , Mixed Tate motives , Slice filtration , G , bundles
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2775262