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Sbornik: Mathematics, 2019, Volume 210, Issue 5, Pages 731–755
DOI: https://doi.org/10.1070/SM9053 (Mi sm9053) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Admissible pairs vs Gieseker-Maruyama

N. V. Timofeeva

Centre of Integrable Systems, P.G. Demidov Yaroslavl State University, Yaroslavl, Russia
English version PDF (613 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM9053
Abstract: Morphisms between the moduli functor of admissible semistable pairs and the Gieseker-Maruyama moduli functor (of semistable coherent torsion-free sheaves) with the same Hilbert polynomial on the surface are constructed. It is shown that these functors are isomorphic, and the moduli scheme for semistable admissible pairs $((\widetilde S,\widetilde L),\widetilde E)$ is isomorphic to the Gieseker-Maruyama moduli scheme. All the components of moduli functors and corresponding moduli schemes which exist are looked at here.
Bibliography: 16 titles.
Keywords: moduli space, semistable coherent sheaves, semistable admissible pairs, vector bundles, algebraic surface.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.12873.2018/12.1
This work was carried out within the framework of the State Programme of the Ministry of Education and Science of the Russian Federation, project no. 1.12873.2018/12.1.
Received: 19.12.2017 and 19.07.2018
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 5, Pages 109–134
DOI: https://doi.org/10.4213/sm9053
Bibliographic databases:
Document Type: Article
UDC: 512.722+512.723
MSC: 14D20
Language: English
Original paper language: Russian
Citation: N. V. Timofeeva, “Admissible pairs vs Gieseker-Maruyama”, Mat. Sb., 210:5 (2019), 109–134; Sb. Math., 210:5 (2019), 731–755
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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