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On the structure of monomial complete intersections in positive characteristic
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
2019 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 521, p. 213-234Article in journal (Refereed) Published
Abstract [en]

In this paper we study the Lefschetz properties of monomial complete intersections in positive characteristic. We give a complete classification of the strong Lefschetz property when the number of variables is at least three, which proves a conjecture by Cook II. We also extend earlier results on the weak Lefschetz property by dropping the assumption on the residue field being infinite, and by giving new sufficient criteria.

Place, publisher, year, edition, pages
2019. Vol. 521, p. 213-234
Keywords [en]
Weak Lefschetz property, Strong Lefschetz property, Maximal rank property, Hilbert series, Fröberg conjecture, Characteristic p
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-178729DOI: 10.1016/j.jalgebra.2018.11.024OAI: oai:DiVA.org:su-178729DiVA, id: diva2:1391042
Available from: 2020-02-03 Created: 2020-02-03 Last updated: 2020-02-04Bibliographically approved
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