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.
Original language | English (US) |
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Pages (from-to) | 194-233 |
Number of pages | 40 |
Journal | Advances in Mathematics |
Volume | 253 |
DOIs | |
State | Published - Mar 1 2014 |
Externally published | Yes |
Keywords
- Generalized Stein factorizations
- Hilbert stack
- Non-separated
- Pushouts
ASJC Scopus subject areas
- General Mathematics