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On an Isomorphism of Compactifications of Moduli Scheme of Vector Bundles

Authors: N. V. Timofeeva;

On an Isomorphism of Compactifications of Moduli Scheme of Vector Bundles

Abstract

A morphism of the reduced Gieseker - Maruyama moduli functor (of semistable coherent torsion-free sheaves) on the surface 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 ((eS; eL); eE) are isomorphic to main components of the reduced Gieseker - Maruyama moduli scheme.

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Keywords

полустабильные допустимые пары, moduli functor, semistable admissible pairs, Information technology, T58.5-58.64, vector bundles, algebraic surface, функтор модулей, векторные расслоения, алгебраическая поверхность

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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