On the Motive of a Fibre Bundle and its Applications

2013/12/02 by Somayeh Habibi, Habibi, Somayeh, Esmail Arasteh Rad +1 · 2 citations
Mathematics · #(14C25 #14D99 #14F42 #20G15) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1312.0422

openalex publication_date 2013/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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).

Cited by

• On the Problem of Mixed-Tateness of the Motives of G-Varieties
• On The Motivic Leray-Hirsch Theorem For Pure Tate Fibre Bundles

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