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arXiv · 1308.0111

On a morphism of compactifications of moduli schemes of vector bundes

Nadezda Timofeeva
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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.

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Nadezda Timofeeva. 2014-12-05. On a morphism of compactifications of moduli schemes of vector bundes. https://arxiv.org/abs/1308.0111

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