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…
Minimal links and a result of Gaeta
Juan Migliore, Uwe Nagel
If is an equidimensional codimension subscheme of an -dimensional projective space, and is linked to by a complete intersection , then we say that is {\e…
Classifying Hilbert functions of fat point subschemes in
A. V. Geramita, B. Harbourne, J. Migliore
A recent paper by the first and third authors together with Sabourin raised the question of what the possible Hilbert functions are for fat point subschemes of the form $2p_1+...+2…
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+…