Hasse Principle for Rost Motives

Borovoi, Mikhail; Semenov, Nikita und Zhykhovich, Maksim (2021): Hasse Principle for Rost Motives. In: International Mathematics Research Notices, Bd. 2021, Nr. 6: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1073-7928
• Sprache: Englisch