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Formal GAGA for good moduli spaces

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arxiv 1208.2882 v2 pith:RB4H7N2Q submitted 2012-08-14 math.AG

Formal GAGA for good moduli spaces

classification math.AG
keywords goodmodulimorphismsformalgagaspaceassumptionbehave
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We prove formal GAGA for good moduli space morphisms under an assumption of "enough vector bundles" (which holds for instance for quotient stacks). This supports the philosophy that though they are non-separated, good moduli space morphisms largely behave like proper morphisms.

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