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arXiv · 1711.04356

Hasse principle for Rost motives

Mikhail Borovoi·Nikita Semenov·Maksim Zhykhovich
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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.

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Mikhail Borovoi, Nikita Semenov, Maksim Zhykhovich. 2017-11-12. Hasse principle for Rost motives. https://arxiv.org/abs/1711.04356

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