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Generalizing the GAGA Principle

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arxiv 1101.5123 v2 pith:GNFADXJY submitted 2011-01-26 math.AG

Jack Hall This is my paper · ORCID
classification math.AG
keywords gagaresultsalgebraizableanalyticapplicationcitecompactificationsfamilies
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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 $\mathcal{M}_{g,n}$ possessing modular interpretations are algebraizable.

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