Mathematical Research Letters
Volume 22 (2015)
The local-global exact sequence for Chow groups of zero-cycles
Pages: 169 – 182
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.
zero-cycles, local-global principle, Brauer–Manin obstruction
2010 Mathematics Subject Classification
Primary 14G25. Secondary 11G35.