Geodesic
On a new compactification of the moduli of vector bundles on a surface
Sbornik. Mathematics, Tome 199 (2008) no. 7, pp. 1051-1070 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new compactification of the moduli scheme of Gieseker-stable vector bundles with prescribed Hilbert polynomial on a smooth projective polarized surface $(S,H)$ defined over a field $k=\bar k$ of characteristic zero is constructed. The 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. The case when the Gieseker-Maruyama space is a fine moduli space is considered. Bibliography: 12 titles. 
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N. V. Timofeeva. On a new compactification of the moduli of vector bundles on a surface. Sbornik. Mathematics, Tome 199 (2008) no. 7, pp. 1051-1070. http://geodesic.mathdoc.fr/item/SM_2008_199_7_a5/

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