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Gotzmann's persistence theorem for finite modules
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0001-8893-5211
2017 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 477, p. 278-293Article in journal (Refereed) Published
Abstract [en]

We prove a generalization of Gotzmann's persistence theorem in the case of modules with constant Hilbert polynomial. As a consequence, we show that the defining equations that give the embedding of a Quot scheme of points into a Grassmannian are given by a single Fitting ideal.

Place, publisher, year, edition, pages
ACADEMIC PRESS INC ELSEVIER SCIENCE , 2017. Vol. 477, p. 278-293
Keyword [en]
Gotzmann's persistence theorem, Quot scheme, Fitting ideals, Finite modules
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-206239DOI: 10.1016/j.jalgebra.2017.01.013ISI: 000396380500013Scopus ID: 2-s2.0-85011693226OAI: oai:DiVA.org:kth-206239DiVA, id: diva2:1096136
Note

QC 20170517

Available from: 2017-05-17 Created: 2017-05-17 Last updated: 2017-05-19Bibliographically approved

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Sædén Ståhl, Gustav

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