On the moduli space of singular principal G-bundles over stable curves

Abstract

In this paper we proof the existence of a linearization for singular principal G-bundles not depending on the base curve. This allow us to construct the relative compact moduli space of δ-(semi)stable singular principal G-bundles over families of reduced projective and connected nodal curves, and to reduce the construction of the universal moduli space over ${\overline{M}}_g$ to the construction of the universal moduli space of swamps.

References in corpus (1)

• Moduli spaces of SL(r)-bundles on singular irreducible curves