On the Weak Lefschetz Property for Powers of Linear Forms

By Juan Migliore, R. Mir'o-Roig, Uwe Nagel. 2010

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In a recent paper, Schenck and Seceleanu showed that in three variables, any ideal generated by powers of linear forms has the Weak Lefschetz Property (WLP). This result contrasts with examples, in our previous work, of ideals in four variables generated by powers of linear forms which fail the WLP. Set $R:=k[x_1,\dots,x_r]$. Assume $1 1$.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

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