Article ID Journal Published Year Pages File Type
4665903 Advances in Mathematics 2014 40 Pages PDF
Abstract

Let π:X→Sπ: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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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