Zero-cycles on varieties over finite fields, by Reza Akhtar

Given a smooth projective variety X of dimension d over a finite field k, we prove that the higher Chow group CH^{d+1}(X,1) of zero-cycles is isomorphic to the multiplicative group k*. We also prove some weaker results on one-cycles.


Reza Akhtar <reza@calico.mth.muohio.edu>