Adequate moduli spaces and geometrically reductive group schemes
We introduce the notion of an adequate moduli space. The theory of adequate moduli spaces provides a framework for studying algebraic spaces which geometrically approximate algebraic stacks with reductive stabilizers in characteristic p. The definition of an adequate moduli space generalizes the existing notion of a good moduli space to characteristic p (and mixed characteristic). The most important examples of an adequate moduli space are: (1) the morphism from the quotient stack [Xss/G]...[Show more]
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