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Elementary components of Hilbert schemes of points

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cris.lastimport.scopus2024-02-12T20:07:44Z
dc.abstract.enConsider the Hilbert scheme of points on a higher dimensional affine space. Its componentiselementaryif it parameterizes irreducible subschemes. We characterize reduced elementarycomponents in terms of tangent spaces and provide a computationally efficient way of findingsuch components. As an example, we find an infinite family of elementary and generically smoothcomponents on the affine four-space. We analyse singularities and formulate a conjecture whichwould imply the non-reducedness of the Hilbert scheme. Our main tool is a generalization of theBialynicki–Birula decomposition for this singular scheme.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorJelisiejew, Joachim
dc.date.accessioned2024-01-24T22:46:19Z
dc.date.available2024-01-24T22:46:19Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.number1
dc.description.volume100
dc.identifier.doi10.1112/JLMS.12212
dc.identifier.issn0024-6107
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/106040
dc.identifier.weblinkhttps://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/jlms.12212
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of the London Mathematical Society
dc.relation.pages249-272
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleElementary components of Hilbert schemes of points
dc.typeJournalArticle
dspace.entity.typePublication