On degeneration of surface in Fitting compactification of moduli of stable vector bundles

Details On degeneration of surface in Fitting compactification of moduli of stable vector bundles On degeneration of surface in Fitting compactification of moduli of stable vector bundles

2008-09-06

arxiv.org/abs/0809.1148v3

Mathematics

Algebraic Geometry

8 pages, submitted to Math. Notes, significant corrections of content, reference removed

Scientific paper

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.

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