  A morphism of the reduced Gieseker -- Maruyama moduli functor (of semistable
coherent torsion-free sheaves) to the reduced moduli functor of admissible
semistable pairs with the same Hilbert polynomial, is constructed. It is shown
that main components of reduced moduli scheme for semistable admissible pairs
((\tilde S, \tilde L), \tilde E) are isomorphic to main components of reduced
Gieseker -- Maruyama moduli scheme.
