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. 
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     author = {N. V. Timofeeva},
     title = {On {Degeneration} of the {Surface} in the {Fitting} {Compactification} of {Moduli} of {Stable} {Vector} {Bundles}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {143--150},
     publisher = {mathdoc},
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     number = {1},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a12/}
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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/