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arXiv · 1806.09741

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

Ángel Luis Muñoz Castañeda
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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 {\delta}-(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.

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Ángel Luis Muñoz Castañeda. 2018-06-26. On the moduli space of singular principal G-bundles over stable curves. https://arxiv.org/abs/1806.09741

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