Mathematics – Algebraic Geometry
Scientific paper
2011-03-28
Mathematics
Algebraic Geometry
11 pages, new result added, and a little correction
Scientific paper
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.
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