Hopf-theoretic approach to motives of twisted flag varieties

Petrov, Victor und Semenov, Nikita (2021): Hopf-theoretic approach to motives of twisted flag varieties. In: Compositio Mathematica, Vol. 157, No. 5, PII S0010437X2100703X: pp. 963-996

Abstract

Let G be a split semisimple algebraic group over a field and let A* be an oriented cohomology theory in the Levine-Morel sense. We provide a uniform approach to the A*-motives of geometrically cellular smooth projective G-varieties based on the Hopf algebra structure of A*(G). Using this approach, we provide various applications to the structure of motives of twisted flag varieties.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0010-437X
• Language: English