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arXiv · 1101.5123

Generalizing the GAGA Principle

Jack Hall
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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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Jack Hall. 2011-01-26. Generalizing the GAGA Principle. https://doi.org/10.1112/jlms%2Fjdu012

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