%0 Journal Article
%T On degeneration of surface in Fitting compactification of moduli of stable vector bundles
%A Nadezda Timofeeva
%J Mathematics
%D 2008
%I arXiv
%X The new compactification of moduli scheme of Gieseker-stable vector bundles with the given Hilbert polynomial on a smooth projective polarized surface (S;H), over the field k = \bar k of zero characteristic, is constructed in previous papers of 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 obtain the class of modified surfaces to appear in the construction. Keywords: moduli space, semistable coherent sheaves, blowup algebra, algebraic surface.
%U http://arxiv.org/abs/0809.1148v3