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Sbornik: Mathematics, 2013, Volume 204, Issue 1, Pages 133–153
DOI: https://doi.org/10.1070/SM2013v204n01ABEH004294 (Mi sm7927) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On a new compactification of moduli of vector bundles on a surface. IV: Nonreduced moduli

N. V. Timofeeva

Yaroslavl' State University
English version PDF (404 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2013v204n01ABEH004294
Abstract: The construction of a nonreduced projective moduli scheme of semistable admissible pairs is performed. We establish the connection of this moduli scheme with the reduced moduli scheme constructed in the previous article and prove that the nonreduced moduli scheme contains an open subscheme which is isomorphic to a moduli scheme of semistable vector bundles.
Bibliography: 10 titles.
Keywords: moduli space, semistable coherent sheaves, moduli functor, algebraic surface.
Received: 27.08.2011 and 15.07.2012
Russian version:
Matematicheskii Sbornik, 2013, Volume 204, Number 1, Pages 139–160
DOI: https://doi.org/10.4213/sm7927
Bibliographic databases:
Document Type: Article
UDC: 512.722+512.723
MSC: Primary 14J60; Secondary 14D20, 14M27
Language: English
Original paper language: Russian
Citation: N. V. Timofeeva, “On a new compactification of moduli of vector bundles on a surface. IV: Nonreduced moduli”, Mat. Sb., 204:1 (2013), 139–160; Sb. Math., 204:1 (2013), 133–153
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v204/i1/p139
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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:491
    Russian version PDF:184
    English version PDF:7
    References:52
    First page:13
     
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