Hasse Principle for Rost Motives

Borovoi, Mikhail; Semenov, Nikita and Zhykhovich, Maksim (2021): Hasse Principle for Rost Motives. In: International Mathematics Research Notices, Vol. 2021, No. 6: pp. 4231-4254

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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1073-7928
• Language: English