Nadezda Timofeeva
Published 2013-08-01, updated 2014-11-03Version 2
A morphism of nonreduced Gieseker - Maruyama functor (of semistable coherent torsion-free sheaves) on a surface to the nonreduced functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. This leads to the morphism of moduli schemes with possibly nonreduced scheme structures. As usually, we consider subfunctors corresponding to main components of moduli schemes.
Comments: 14 pages. Result is the same, the proof is absolutely changed
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