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

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

2011-08-18

arxiv.org/abs/1108.3789v3

Mathematics

Algebraic Geometry

20 pages, additions and removals

Scientific paper

The construction for nonreduced projective moduli scheme of semistable
admissible pairs is performed. We establish the relation of this moduli scheme
with reduced moduli scheme built up in the previous article and prove that
nonreduced moduli scheme contains an open subscheme which is isomorphic to
moduli scheme of semistable vector bundles.

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