Geodesic
On the new compactification of moduli of vector bundles on a~surface.~II
Sbornik. Mathematics, Tome 200 (2009) no. 3, pp. 405-427

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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: semistable coherent sheaves, pseudofamily
Mots-clés : moduli space, algebraic surface. 
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     author = {N. V. Timofeeva},
     title = {On the new compactification of moduli of vector bundles on {a~surface.~II}},
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N. V. Timofeeva. On the new compactification of moduli of vector bundles on a~surface.~II. Sbornik. Mathematics, Tome 200 (2009) no. 3, pp. 405-427. http://geodesic.mathdoc.fr/item/SM_2009_200_3_a5/