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1 results

Hopf-theoretic approach to motives of twisted flag varieties
Part of
- Cycles and subschemes
- Linear algebraic groups and related topics
Victor Petrov, Nikita Semenov
Journal:

Compositio Mathematica / Volume 157 / Issue 5 / May 2021

Published online by Cambridge University Press:

29 April 2021, pp. 963-996

Print publication:

May 2021
- Article
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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.