Hasse Principle for Rost Motives-Reference-Cited by-同舟云学术

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Hasse Principle for Rost Motives

Published:2019-01-24 Issue:6 Volume:2021 Page:4231-4254
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Borovoi Mikhail¹,Semenov Nikita²,Zhykhovich Maksim²

Affiliation:

1. Raymond and Beverly Sackler School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

2. Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. München, Germany

Abstract

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 $Q$.

Funder

Hermann Minkowski Center for Geometry

Israel Science Foundation

Deutsche Forschungsgemeinschaft

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/6/4231/36604877/rny300.pdf

Reference27 articles.

1. Global fields;Cassels,1967

2. Motivic decomposition of projective homogeneous varieties and the Krull–Schmidt theorem;Chernousov;Transform. Groups,2006

3. American Mathematical Society Colloquium Publications;Elman,2008

4. Shells of twisted flag varieties and the Rost invariant;Garibaldi;Duke Math. J.,2016

5. “Lifting of Coefficients for Chow Motives of Quadrics;Haution,2010

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