• Corpus ID: 10932921

The moduli stack of $G$-bundles

  title={The moduli stack of \$G\$-bundles},
  author={Jonathan Wang},
  journal={arXiv: Algebraic Geometry},
  • Jonathan Wang
  • Published 26 April 2011
  • Mathematics
  • arXiv: Algebraic Geometry
In this paper, we give an expository account of the geometric properties of the moduli stack of $G$-bundles. For $G$ an algebraic group over a base field and $X \to S$ a flat, finitely presented, projective morphism of schemes, we give a complete proof that the moduli stack $Bun_G$ is an algebraic stack locally of finite presentation over $S$ with schematic, affine diagonal. In the process, we prove some properties of $BG$ and Hom stacks. We then define a level structure on $Bun_G$ to provide… 
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