English

Generalizing the GAGA Principle

Algebraic Geometry 2017-05-17 v2

Abstract

This paper generalizes the fundamental GAGA results of Serre cite{MR0082175} in three ways---to the non-separated setting, to stacks, and to families. As an application of these results, we show that analytic compactifications of Mg,n\mathcal{M}_{g,n} possessing modular interpretations are algebraizable.

Keywords

Cite

@article{arxiv.1101.5123,
  title  = {Generalizing the GAGA Principle},
  author = {Jack Hall},
  journal= {arXiv preprint arXiv:1101.5123},
  year   = {2017}
}

Comments

19 pages

R2 v1 2026-06-21T17:17:28.795Z