  We show that the monopole confinement mechanism in lattice gluodynamics is a
particular feature of the maximal abelian projection. We give an explicit
example of the $SU(2) \rightarrow U(1)$ projection (the minimal abelian
projection), in which the confinement is due to topological objects other than
monopoles. We perform analytical and numerical study of the loop expansion of
the Faddeev--Popov determinant for the maximal and the minimal abelian
projections, and discuss the fundamental modular region for these projections.
