The local-global exact sequence for Chow groups of zero-cycles

Abstract

A local-global sequence for Chow groups of zero-cycles involving Brauer groups has been conjectured to be exact for all proper smooth algebraic varieties. We apply existing methods to construct several new families of varieties verifying the exact sequence. The examples are explicit, they are normic bundles over the projective space.

10 pages, new organization of the last section and minor modifications

Cited by in corpus (2)

• Local-global principle for 0-cycles on fibrations over rationally connected bases
• Towards the Brauer-Manin obstruction on varieties fibred over the projective line