Geodesic
On a~new compactification of moduli of vector bundles on a~surface. IV: Nonreduced moduli
Sbornik. Mathematics, Tome 204 (2013) no. 1, pp. 133-153

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The construction of a nonreduced projective moduli scheme of semistable admissible pairs is performed. We establish the connection of this moduli scheme with the reduced moduli scheme constructed in the previous article and prove that the nonreduced moduli scheme contains an open subscheme which is isomorphic to a moduli scheme of semistable vector bundles. Bibliography: 10 titles.
Keywords: semistable coherent sheaves, moduli functor
Mots-clés : moduli space, algebraic surface. 
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     author = {N. V. Timofeeva},
     title = {On a~new compactification of moduli of vector bundles on a~surface. {IV:} {Nonreduced} moduli},
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N. V. Timofeeva. On a~new compactification of moduli of vector bundles on a~surface. IV: Nonreduced moduli. Sbornik. Mathematics, Tome 204 (2013) no. 1, pp. 133-153. http://geodesic.mathdoc.fr/item/SM_2013_204_1_a4/