  A procedure resolving a torsion-free coherent sheaf on a nonsingular
$N$-dimensional projective algebraic variety into a locally free sheaf on a
projective scheme of certain class is proposed. This is a higher-dimensional
analog of the resolution (called the standard resolution in previous works of
the author) of coherent sheaves on a surface.
  Bibliography: 23 items
  Keywords: moduli space, algebraic coherent sheaves, admissible pairs, vector
bundles, nonsingular algebraic variety, projective algebraic variety, moduli of
vector bundles, compactification of moduli.
