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Stack structures on GIT quotients parametrizing hypersurfaces
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2011 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 284, no 7, 885-898 p.Article in journal (Refereed) Published
Abstract [en]

We suggest to endow Mumford's GIT quotient scheme with a stack structure, by replacing Proj(-) of the invariant ring with its stack theoretic analogue. We analyse the stacks resulting in this way from classically studied invariant rings, and in particular for binary forms of low degree. Our viewpoint is that the stack structure carries interesting geometric information that is intrinsically present in the invariant ring, but lost when passing to its Proj(-).

Place, publisher, year, edition, pages
2011. Vol. 284, no 7, 885-898 p.
Keyword [en]
GIT quotient, invariant theory, stack quotient, binary forms
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-34210DOI: 10.1002/mana.200810125ISI: 000290477600006Scopus ID: 2-s2.0-79955411345OAI: oai:DiVA.org:kth-34210DiVA: diva2:422848
Note
QC 20110614Available from: 2011-06-14 Created: 2011-05-30 Last updated: 2017-12-11Bibliographically approved

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