Hasse principle for Rost motives
Algebraic Geometry
2018-12-24 v4
Abstract
We prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric Q over a number field F. Besides, we show that such summands are twists of Rost motives. In the case when F has at most one real embedding we describe a complete motivic decomposition of Q.
Cite
@article{arxiv.1711.04356,
title = {Hasse principle for Rost motives},
author = {Mikhail Borovoi and Nikita Semenov and Maksim Zhykhovich},
journal= {arXiv preprint arXiv:1711.04356},
year = {2018}
}
Comments
17 pages, accepted to International Mathematics Research Notices