Abstract
We show that an Artinian quotient of an ideal I ⊆ K [x, y, z] generated by powers of linear forms has the Weak Lefschetz Property. If the syzygy bundle of I is semistable, the property follows from results of Brenner-Kaid. Our proof works without this hypothesis, which typically does not hold.
Original language | English (US) |
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Pages (from-to) | 2335-2339 |
Number of pages | 5 |
Journal | Proceedings of the American Mathematical Society |
Volume | 138 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2010 |
Externally published | Yes |
Keywords
- Artinian algebra
- Powers of linear forms
- Weak Lefschetz property
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics