Mathematics – Algebraic Geometry
Scientific paper
2011-01-26
Mathematics
Algebraic Geometry
19 pages
Scientific paper
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
$\mathcal{M}_{g,n}$ possessing modular interpretations are algebraizable.
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