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Paper   IPM / M / 17658
School of Mathematics
  Title:   A remark on a result of Huber and Kahn
  Author(s):  Somayeh Habibi (Joint with F. Rahmati)
  Status:   Published
  Journal: Bull. Iranian Math. Soc.
  Year:  2024
  Pages:   DOI: 0.1007/s41980-024-00861-4
  Supported by:  IPM
A. Huber and B. Kahn construct a relative slice filtration on the motive M(X) associated to a principal T-bundle X over Y for a smooth scheme Y. As a consequence of 4 their result, one can observe that the mixed Tateness of the motive M(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.

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