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) |
|---|---|
| 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