A remark on a result of Huber and Kahn
Algebraic Geometry
2024-01-17 v2 Number Theory
Abstract
A. Huber and B. Kahn construct a relative slice filtration on the motive M(X) associated to a principal T-bundle X over a smooth scheme Y. As a consequence of 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.
Cite
@article{arxiv.2301.05477,
title = {A remark on a result of Huber and Kahn},
author = {Somayeh Habibi and Farhad Rahmati},
journal= {arXiv preprint arXiv:2301.05477},
year = {2024}
}
Comments
12 pages