THE HILBERT COMPACTIFICATION OF THE UNIVERSAL MODULI SPACE OF SEMISTABLE VECTOR BUNDLES OVER SMOOTH CURVES

Alexander Schmitt

doi:10.4310/jdg/1102538609

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Home > Journals > J. Differential Geom. > Volume 66 > Issue 2 > Article

February, 2004 THE HILBERT COMPACTIFICATION OF THE UNIVERSAL MODULI SPACE OF SEMISTABLE VECTOR BUNDLES OVER SMOOTH CURVES

Alexander Schmitt

J. Differential Geom. 66(2): 169-209 (February, 2004). DOI: 10.4310/jdg/1102538609

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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 Graβmannian. It has all the properties asked for by Teixidor.

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Alexander Schmitt. "THE HILBERT COMPACTIFICATION OF THE UNIVERSAL MODULI SPACE OF SEMISTABLE VECTOR BUNDLES OVER SMOOTH CURVES." J. Differential Geom. 66 (2) 169 - 209, February, 2004. https://doi.org/10.4310/jdg/1102538609

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Published: February, 2004

First available in Project Euclid: 8 December 2004

zbMATH: 1078.14046

MathSciNet: MR2106123

Digital Object Identifier: 10.4310/jdg/1102538609

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Alexander Schmitt "THE HILBERT COMPACTIFICATION OF THE UNIVERSAL MODULI SPACE OF SEMISTABLE VECTOR BUNDLES OVER SMOOTH CURVES," Journal of Differential Geometry, J. Differential Geom. 66(2), 169-209, (February, 2004)

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