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The local-global exact sequence for Chow groups of zero-cycles
zero-cycles local-global principle Brauer–Manin obstruction
2012/6/27
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 severa...
Transcendence degree of zero-cycles and the structure of Chow motives
algebraic cycles rational equivalence motives balanced corre-spondence
2010/12/1
In the paper we introduce a transcendence degree of a zero-cycle on a smooth projective variety X and relate it to the structure of the motive of X.
Zero Cycles of Degree One on Principal Homogeneous Spaces
Zero Cycles of Degree One Principal Homogeneous Spaces
2010/12/10
Let k be a field of characteristic different from 2. Let G be a simply connected or adjoint semisimple algebraic k-group which does not contain a simple factor of type E8 and such that every exception...