Mathematics – Commutative Algebra
Scientific paper
2009-09-18
Mathematics
Commutative Algebra
14 pages, 1 figure
Scientific paper
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.
II David Cook
Nagel Uwe
No associations
LandOfFree
The weak Lefschetz property, monomial ideals, and lozenges does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The weak Lefschetz property, monomial ideals, and lozenges, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The weak Lefschetz property, monomial ideals, and lozenges will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-277538