English

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

Algebraic Geometry 2018-06-27 v1

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 Mg\overline{M}_{g} to the construction of the universal moduli space of swamps.

Keywords

Cite

@article{arxiv.1806.09741,
  title  = {On the moduli space of singular principal G-bundles over stable curves},
  author = {Ángel Luis Muñoz Castañeda},
  journal= {arXiv preprint arXiv:1806.09741},
  year   = {2018}
}