### On a generalization of the Picard-Brauer exact sequence, by Cristian D. Gonzalez-Aviles

We extend an argument of S.Lichtenbaum and obtain a generalization of the
well-known Picard-Brauer exact sequence for a smooth variety X. The
resulting exact sequence connects the codimension n Chow group of X with a
certain "Brauer-like" group. As applications, we obtain a number of results
on codimension 2 and codimension 3 cycles on various types of varieties
(e.g., rational ones). We also give applications to projective homogeneous
varieties.

Cristian D. Gonzalez-Aviles <gonzomat2002@yahoo.es>