This article is cited in 4 papers

On a new compactification of moduli of vector bundles on a surface. IV: Nonreduced moduli

N. V. Timofeeva

Yaroslavl' State University

Abstract: 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: moduli space, semistable coherent sheaves, moduli functor, algebraic surface.

UDC: 512.722+512.723

MSC: Primary 14J60; Secondary 14D20, 14M27

Received: 27.08.2011 and 15.07.2012

DOI: 10.4213/sm7927

 English version: Sbornik: Mathematics, 2013, 204:1, 133–153

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