On the motive of a commutative algebraic group
Algebraic Geometry
2016-03-18 v2 K-Theory and Homology
Abstract
We prove a canonical Kunneth decomposition for the motive of a commutative group scheme over a field. Moreover, we show that this decomposition behaves under the group law just as in cohomology. We also deduce applications of the decomposition to the existence of a weight filtration, computation of any Weil cohomology theory and study of 1-motives.
Keywords
Cite
@article{arxiv.1312.4171,
title = {On the motive of a commutative algebraic group},
author = {Giuseppe Ancona and Stephen Enright-Ward and Annette Huber},
journal= {arXiv preprint arXiv:1312.4171},
year = {2016}
}
Comments
final version, minor modifications