On the Motive of a Fibre Bundle and its Applications
Algebraic Geometry
2016-04-05 v3
Abstract
In this article we compute the motive associated to a cellular fibration over a smooth scheme inside Veovodsky's motivic categories. We implement this result to study the motive associated to a -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).
Keywords
Cite
@article{arxiv.1312.0422,
title = {On the Motive of a Fibre Bundle and its Applications},
author = {Somayeh Habibi and Esmail Arasteh Rad},
journal= {arXiv preprint arXiv:1312.0422},
year = {2016}
}
Comments
20 pages. arXiv admin note: substantial text overlap with arXiv:1112.4110