Generalizing the GAGA Principle

Details Generalizing the GAGA Principle Generalizing the GAGA Principle

2011-01-26

arxiv.org/abs/1101.5123v2

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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