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

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

2003-12-18

arxiv.org/abs/math/0312362v2

J. Differential Geometry 66 (2004), no. 2, 169-209

Mathematics

Algebraic Geometry

To appear in J. Differential Geom. V2: Correction of typos and minor modifications

Scientific paper

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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