58 citations · 399 across the 82 of their papers we have counts for
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Hyperplane sections and the subtlety of the Lefschetz properties
David Cook, Uwe Nagel
The weak and strong Lefschetz properties are two basic properties that Artinian algebras may have. Both Lefschetz properties may vary under small perturbations or changes of the ch…
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…
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…
Level algebras through Buchsbaum* manifolds
Uwe Nagel
Stanley-Reisner rings of Buchsbaum* complexes are studied by means of their quotients modulo a linear system of parameters. The socle of these quotients is computed. Extending a re…