Shells of twisted flag varieties and the Rost invariant

Abstract

We introduce two new general methods to compute the Chow motives of twisted flag varieties and settle a 20-year-old conjecture of Markus Rost about the Rost invariant for groups of type E7.

39 pages

References in corpus (7)

• Hyperbolicity of orthogonal involutions
• Addendum to: Generically split projective homogeneous varieties
• Restricting the Rost Invariant to the Center
• The J-invariant, Tits algebras and Triality
• Wild Pfister forms over Henselian fields, K-theory, and conic division algebras
• Degree 5 invariant of E8
• Zero cycles on projective varieties and the norm principle

Cited by in corpus (9)

• $E_8$, the most exceptional group
• Morava K-theory of twisted flag varieties
• On the Tits p-indexes of semisimple algebraic groups
• Rost motives, affine varieties, and classifying spaces
• Hopf-theoretic approach to motives of twisted flag varieties
• Minuscule embeddings
• The Allison-Faulkner construction of $E_8$
• The J-invariant and Tits algebras for groups of inner type E6
• Integral motives, relative Krull-Schmidt principle, and Maranda-type theorems