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On the Weak Lefschetz Property for Powers of Linear Forms
Juan Migliore, Rosa M. Miró-Roig, Uwe Nagel
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…
math.AC2010
Groebner bases via linkage
Elisa Gorla, Juan C. Migliore, Uwe Nagel
In this paper, we give a sufficient condition for a set $\mathal G$ of polynomials to be a Gröbner basis with respect to a given term-order for the ideal that it generates. Our…