On a morphism of compactifications of moduli schemes of vector bundes

Abstract

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.

arXiv comment14 pages. Minor correction in the final of the proof of lemma 1. Reference added. Others is literally the same

References in corpus (3)

• Moduli of vector-bundles on surfaces
• On degeneration of surface in Fitting compactification of moduli of stable vector bundles
• On some isomorphism of compactifications of moduli scheme of vector bundles

Cited by in corpus (2)

• Isomorphism of compactifications of moduli of vector bundles: nonreduced moduli
• A note on homological dimension of a family of coherent sheaves