The relation between Gribov ambiguity and degeneracies in the symplectic
structure of physical systems is analyzed. It is shown that, in
finite-dimensional systems, the presence of Gribov ambiguities in regular
constrained systems (those where the constraints are functionally independent)
always leads to a degenerate symplectic structure upon Dirac reduction. The
implications for the Gribov-Zwanziger approach to QCD are discussed.Comment: 26 pages, 6 figures. Comments and references adde
