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This article is cited in 10 scientific papers (total 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.
Received: 21.04.2009
Citation:
N. V. Timofeeva, “On Degeneration of the Surface in the Fitting Compactification of Moduli of Stable Vector Bundles”, Mat. Zametki, 90:1 (2011), 143–150; Math. Notes, 90:1 (2011), 142–148
Linking options:
https://www.mathnet.ru/eng/mzm6321https://doi.org/10.4213/mzm6321 https://www.mathnet.ru/eng/mzm/v90/i1/p143
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