Moduli spaces of principal bundles on singular varieties

Details Moduli spaces of principal bundles on singular varieties Moduli spaces of principal bundles on singular varieties

2011-08-31

arxiv.org/abs/1108.6165v1

Mathematics

Algebraic Geometry

25 pages

Scientific paper

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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