44 citations · 142 across the 75 of their papers we have counts for
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Monomial ideals, almost complete intersections and the Weak Lefschetz Property
Juan C. Migliore, Rosa M. Miro-Roig, Uwe Nagel
Many algebras are expected to have the Weak Lefschetz property though this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and…
The strength of the Weak Lefschetz Property
Juan C. Migliore, Fabrizio Zanello
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…
Bounds and asymptotic minimal growth for Gorenstein Hilbert functions
Juan C. Migliore, Uwe Nagel, Fabrizio Zanello
We determine new bounds on the entries of Gorenstein Hilbert functions, both in any fixed codimension and asymptotically. Our first main theorem is a lower bound for the degree $i+…