This article is cited in 10 papers

On Degeneration of the Surface in the Fitting Compactification of Moduli of Stable Vector Bundles

N. V. Timofeeva

P. G. Demidov Yaroslavl State University

Abstract: 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.

Keywords: moduli space, semistable coherent sheaf, locally free sheaf, blowup algebra, projective algebraic surface, ample divisor.

UDC: 512.722+512.723

Received: 21.04.2009

DOI: 10.4213/mzm6321

 English version: Mathematical Notes, 2011, 90:1, 142–148

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