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Sbornik: Mathematics, 2009, Volume 200, Issue 3, Pages 405–427
DOI: https://doi.org/10.1070/SM2009v200n03ABEH004002 (Mi sm5234) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the new compactification of moduli of vector bundles on a surface. II

N. V. Timofeevaab

a P. G. Demidov Yaroslavl State University
b Yaroslavl State Pedagogical University named after K. D. Ushinsky
English version PDF (380 kB) Citations (13)
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DOI: https://doi.org/10.1070/SM2009v200n03ABEH004002
Abstract: We construct a new compactification of the moduli scheme of Gieseker-stable vector bundles having fixed Hilbert polynomial on a smooth projective polarized surface $(S,H)$ defined over the field $k=\mathbb C$. Families of locally free sheaves on the surface $S$ are completed by locally free sheaves on surfaces that are certain modifications of $S$. The new moduli space has a birational morphism onto the Gieseker-Maruyama moduli space. We consider the case when the Gieseker-Maruyama space is the coarse moduli space.
Bibliography: 16 titles.
Keywords: moduli space, semistable coherent sheaves, pseudofamily, algebraic surface.
Received: 08.04.2008 and 24.11.2008
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 3, Pages 95–118
DOI: https://doi.org/10.4213/sm5234
Bibliographic databases:
UDC: 512.722+512.723
MSC: 14J60
Language: English
Original paper language: Russian
Citation: N. V. Timofeeva, “On the new compactification of moduli of vector bundles on a surface. II”, Mat. Sb., 200:3 (2009), 95–118; Sb. Math., 200:3 (2009), 405–427
Citation in format AMSBIB
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