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Explicit projective embeddings of standard opens of the Hilbert scheme of points
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-6634-5202
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0001-8893-5211
2022 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 590, p. 254-276Article in journal (Refereed) Published
Abstract [en]

We describe explicitly how certain standard opens of the Hilbert scheme of points are embedded into Grassmannians. The standard opens of the Hilbert scheme that we consider are given as the intersection of a corresponding basic open affine of the Grassmannian and a closed stratum determined by a Fitting ideal.

Place, publisher, year, edition, pages
Elsevier BV , 2022. Vol. 590, p. 254-276
Keywords [en]
Fitting ideals, Hilbert schemes, Quot schemes, Grassmannian, Strongly generated, Apolarity
National Category
Algebra and Logic Geometry
Identifiers
URN: urn:nbn:se:kth:diva-304550DOI: 10.1016/j.jalgebra.2021.10.007ISI: 000709453500010Scopus ID: 2-s2.0-85117185449OAI: oai:DiVA.org:kth-304550DiVA, id: diva2:1609639
Note

QC 20211109

Available from: 2021-11-09 Created: 2021-11-09 Last updated: 2022-06-25Bibliographically approved

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Skjelnes, Roy MikaelSædén Ståhl, Gustav

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