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arXiv · 1108.6165

Moduli spaces of principal bundles on singular varieties

Adrian Langer
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Abstract

Let k be an algebraically closed field of characteristic zero. Let f:X-->S be a flat, projective morphism of k-schemes of finite type with integral geometric fibers. We prove existence of a projective relative moduli space for semistable singular principal bundles on the fibres of f. This generalizes the result of A. Schmitt who studied the case when X is a nodal curve.

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Adrian Langer. 2011-08-31. Moduli spaces of principal bundles on singular varieties. https://doi.org/10.1215/21562261-1966053

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