Good Moduli Spaces in Derived Algebraic Geometry
We develop a theory of good moduli spaces for derived Artin stacks, which naturally generalizes the classical theory of good moduli spaces introduced by Alper. As such, many of the fundamental results and properties regarding good moduli spaces for classical Artin stacks carry over to the derived co...
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Zusammenfassung: | We develop a theory of good moduli spaces for derived Artin stacks, which
naturally generalizes the classical theory of good moduli spaces introduced by
Alper. As such, many of the fundamental results and properties regarding good
moduli spaces for classical Artin stacks carry over to the derived context. In
fact, under natural assumptions, often satisfied in practice, we show that the
derived theory essentially reduces to the classical theory. As applications, we
establish derived versions of the \'{e}tale slice theorem for good moduli
spaces and the partial desingularization procedure of good moduli spaces. |
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DOI: | 10.48550/arxiv.2309.16574 |