Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Admissible Pairs vs Gieseker--Maruyama   A morphism of the moduli functor of admissible semistable pairs to the
Gieseker -- Maruyama moduli functor (of semistable coherent torsion-free
sheaves) with the same Hilbert polynomial on the surface, is constructed. It is
shown that these functors are isomorphic, and the moduli scheme for semistable
admissible pairs $((\tilde S, \tilde L), \tilde E)$ is isomorphic to the
Gieseker -- Maruyama moduli scheme. The considerations involve all components
of moduli functors and corresponding moduli scheme as they exist.

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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga