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REPRESENTABILITY OF HILBERT SCHEMES AND HILBERT STACKS OF POINTS
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-2505-6417
2011 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 39, no 7, 2632-2646 p.Article in journal (Refereed) Published
Abstract [en]

We show that the Hilbert functor of points on an arbitrary separated algebraic stack is an algebraic space. We also show the algebraicity of the Hilbert stack of points on an algebraic stack and the algebraicity of the Weil restriction of an algebraic stack along a finite flat morphism. For the latter two results, no separation assumptions are necessary.

Place, publisher, year, edition, pages
2011. Vol. 39, no 7, 2632-2646 p.
Keyword [en]
Hilbert scheme, Hilbert stack, Hom stack, Non-separated, Weil restriction
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-50331DOI: 10.1080/00927872.2010.488678ISI: 000297043700032OAI: oai:DiVA.org:kth-50331DiVA: diva2:480180
Note
QC 20120119Available from: 2012-01-19 Created: 2011-12-05 Last updated: 2017-12-08Bibliographically approved

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Rydh, David

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