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Sbornik: Mathematics, 2011, Volume 202, Issue 3, Pages 413–465
DOI: https://doi.org/10.1070/SM2011v202n03ABEH004151
(Mi sm7652)
 

This article is cited in 11 scientific papers (total in 11 papers)

On a new compactification of moduli of vector bundles on a surface. III: Functorial approach

N. V. Timofeeva

P. G. Demidov Yaroslavl State University
References:
Abstract: A new compactification for the scheme of moduli for Gieseker-stable vector bundles with prescribed Hilbert polynomial on the smooth projective polarized surface $(S,L)$ is constructed. We work over the field $k=\bar k$ of characteristic zero. Families of locally free sheaves on the surface $S$ are completed with locally free sheaves on schemes which are modifications of $S$. The Gieseker-Maruyama moduli space has a birational morphism onto the new moduli space. We propose the functor for families of pairs ‘polarized scheme-vector bundle’ with moduli space of such type.
Bibliography: 16 titles.
Keywords: moduli space, semistable coherent sheaves, moduli functor, algebraic surface.
Received: 13.11.2009 and 29.06.2010
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 3, Pages 107–160
DOI: https://doi.org/10.4213/sm7652
Bibliographic databases:
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. III: Functorial approach”, Mat. Sb., 202:3 (2011), 107–160; Sb. Math., 202:3 (2011), 413–465
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm7652
  • https://doi.org/10.1070/SM2011v202n03ABEH004151
  • https://www.mathnet.ru/eng/sm/v202/i3/p107
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
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    Abstract page:594
    Russian version PDF:208
    English version PDF:10
    References:58
    First page:10
     
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