The Hilbert Stack
classification
🧮 math.AG
keywords
algebraichilbertmorphismstackstacksaffineevenfinite
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Let \pi : X -> S be a morphism of algebraic stacks that is locally of finite presentation with affine stabilizers. We prove that there is an algebraic S-stack, the Hilbert stack, parameterizing proper algebraic stacks mapping quasi-finitely to X. This was previously unknown, even for a morphism of schemes.
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