A_0(SB_r(A)) is (d, n/d)-torsion with d = gcd(r,n) and vanishes over local or global fields, extending to stably birational Severi-Brauer flag varieties.
Z´ ero-cycles sur les surfaces de del Pezzo (Variations sur un th` eme de Daniel Coray)
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Zero cycles on Severi--Brauer flag varieties
A_0(SB_r(A)) is (d, n/d)-torsion with d = gcd(r,n) and vanishes over local or global fields, extending to stably birational Severi-Brauer flag varieties.