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arXiv · 1011.5484

The Hilbert Stack

Jack Hall·David Rydh
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Abstract

Let π: 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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Jack Hall, David Rydh. 2013-06-20. The Hilbert Stack. https://doi.org/10.1016/j.aim.2013.12.002

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