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- W2951932330 abstract "We study a number of conditions on the Hilbert function of a level artinian algebra which imply the Weak Lefschetz Property (WLP). Possibly the most important open case is whether a codimension 3 SI-sequence forces the WLP for level algebras. In other words, does every codimension 3 Gorenstein algebra have the WLP? We give some new partial answers to this old question: we prove an affirmative answer when the initial degree is 2, or when the Hilbert function is relatively small. Then we give a complete answer to the question of what is the largest socle degree forcing the WLP." @default.
- W2951932330 created "2019-06-27" @default.
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- W2951932330 date "2008-03-24" @default.
- W2951932330 modified "2023-09-27" @default.
- W2951932330 title "The strength of the Weak Lefschetz Property" @default.
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