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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm5234https://doi.org/10.1070/SM2009v200n03ABEH004002 https://www.mathnet.ru/eng/sm/v200/i3/p95
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Abstract page: | 523 | Russian version PDF: | 185 | English version PDF: | 26 | References: | 54 | First page: | 15 |
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