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The Hilbert stack
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-2505-6417
2014 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 253, 194-233 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 253, 194-233 p.
Keyword [en]
Generalized Stein factorizations, Hilbert stack, Non-separated, Pushouts
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-140800DOI: 10.1016/j.aim.2013.12.002ISI: 000329950100008Scopus ID: 2-s2.0-84891388239OAI: oai:DiVA.org:kth-140800DiVA: diva2:693120
Note

QC 20140203

Available from: 2014-02-03 Created: 2014-01-31 Last updated: 2017-12-06Bibliographically approved

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Rydh, David

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