The Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves

2003/12/31 by Alexander Schmitt
Mathematics · #math.AG #msc:14H60 #msc:14D20 #msc:14F05

paper · pdf

published as J. Differential Geometry 66 (2004), no. 2, 169-209 · To appear in J. Differential Geom. V2: Correction of typos and minor modifications

arxiv created 2004/08/06 · arxiv updated 2009/12/01

Abstract

We construct the Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves. The Hilbert compactification is the GIT quotient of some open part of an appropriate Hilbert scheme of curves in a Grassmannian. It has all the properties asked for by Teixidor.

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