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- W2952071446 abstract "We study the weak Lefschetz property and the Hilbert function of level Artinian monomial almost complete intersections in three variables. Several such families are shown to have the weak Lefschetz property if the characteristic of the base field is zero or greater than the maximal degree of any minimal generator of the ideal. Two of the families have an interesting relation to tilings of hexagons by lozenges. This lends further evidence to a conjecture by Migliore, Miro-Roig, and the second author. Finally, using our results about the weak Lefschetz property, we show that the Hilbert function of each level Artinian monomial almost complete intersection in three variables is peaked strictly unimodal." @default.
- W2952071446 created "2019-06-27" @default.
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- W2952071446 date "2009-09-18" @default.
- W2952071446 modified "2023-09-27" @default.
- W2952071446 title "The weak Lefschetz property, monomial ideals, and lozenges" @default.
- W2952071446 hasPublicationYear "2009" @default.
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