Formal GAGA for good moduli spaces

Formal GAGA for good moduli spaces

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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Hauptverfasser: Geraschenko, Anton, Zureick-Brown, David
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Beschreibung
Zusammenfassung: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.
DOI:10.48550/arxiv.1208.2882