  This paper is devoted to the study of a discrepancy-type characteristic --
the fixed volume discrepancy -- of the Korobov point sets in the unit cube. It
was observed recently that this new characteristic allows us to obtain optimal
rate of dispersion from numerical integration results. This observation
motivates us to thoroughly study this new version of discrepancy, which seems
to be interesting by itself. This paper extends recent results by V. Temlyakov
and M. Ullrich on the fixed volume discrepancy of the Fibonacci point sets.
