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On degeneration of the surface in the fitting compactification of moduli of stable vector bundles

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Abstract

A new compactification of the moduli scheme of Gieseker-stable vector bundles with given Hilbert polynomial on a smooth projective polarized surface (S, H) over a field \(k = \bar k\) 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.

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Authors and Affiliations

  1. Yaroslavl State University, Yaroslavl, Russia

    N. V. Timofeeva

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  1. N. V. Timofeeva
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Correspondence to N. V. Timofeeva.

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Original Russian Text © N. V. Timofeeva, 2011, published in Matematicheskie Zametki, 2011, Vol. 90, No. 1, pp. 143–150.

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Timofeeva, N.V. On degeneration of the surface in the fitting compactification of moduli of stable vector bundles. Math Notes 90, 142 (2011). https://doi.org/10.1134/S0001434611070145

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  • DOI: https://doi.org/10.1134/S0001434611070145

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