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Paper   IPM / M / 16506
School of Mathematics
  Title:   On the motive of a fibre bundle and its applications
1.  Esmail Arasteh Rad
2.  Somayeh Habibi
  Status:   To Appear
  Journal: Analysis, Geometry, and Number Theory
  Supported by:  IPM
In this article we compute the motive associated to a cellular fibration Γ over a smooth scheme X inside Veovodsky's motivic categories. We implement this result to study the motive associated to a G-bundle, and additionally to study motives of varieties admitting a resolution of singularities by a tower of cellular fibrations (e.g. affine Schubert varieties in a twisted affine flag variety).

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