Geodesic
On Degeneration of the Surface in the Fitting Compactification of Moduli of Stable Vector Bundles
Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 143-150

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A new compactification of the moduli scheme of Gieseker-stable vector bundles with given Hilbert polynomial on a smooth projective polarized surface $(S,\mathsf{H})$ over a field $k=\overline k$ of zero characteristic was constructed in previous papers by the author. Families of locally free sheaves on the surface $S$ are completed by the locally free sheaves on the schemes which are certain modifications of $S$. We describe the class of modified surfaces that appear in the construction.
Mots-clés : moduli space
Keywords: semistable coherent sheaf, locally free sheaf, blowup algebra, projective algebraic surface, ample divisor. 
N. V. Timofeeva. On Degeneration of the Surface in the Fitting Compactification of Moduli of Stable Vector Bundles. Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 143-150. http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a12/
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