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The Hilbert Stack

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.

4 nodes3 linksoverview mapThe Hilbert Stack
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4 nodes3 links
The Hilbert Stack4 visible / 4 total nodes / 4 links
Co-authorshipAuthorshipAuthorshipTopic signalWThe Hilbert Stackpreprint / 2013AJack HallResearcherADavid RydhResearcherTmath.AG5393 works
PaperSignal 103 links

The Hilbert Stack

preprint / 2013

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