Zero cycles of degree one on projective varieties of type E7 and the norm principle, by Philippe Gille and Nikita Semenov

Let G be an anisotropic simple algebraic group of type E7 over a field k. Using the Gille-Merkurjev norm principle we prove that the G-variety of parabolic subgroups of type 7 (the enumeration of simple roots follows Bourbaki) does not have a zero-cycle of degree 1.

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