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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm7927https://doi.org/10.1070/SM2013v204n01ABEH004294 https://www.mathnet.ru/eng/sm/v204/i1/p139
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Abstract page: | 491 | Russian version PDF: | 184 | English version PDF: | 7 | References: | 52 | First page: | 13 |
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