On some isomorphism of compactifications of moduli scheme of vector bundles

Nadezda Timofeeva

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arXiv · 1103.5327

On some isomorphism of compactifications of moduli scheme of vector bundles

Nadezda Timofeeva

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Abstract

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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Nadezda Timofeeva. 2011-09-15. On some isomorphism of compactifications of moduli scheme of vector bundles. https://arxiv.org/abs/1103.5327

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