13 citations · 32 across the 13 of their papers we have counts for
5 papers · 1 filter
The geometry of the Weak Lefschetz Property and level sets of points
Juan C. Migliore
In a recent paper, F. Zanello showed that level Artinian algebras in 3 variables can fail to have the Weak Lefschetz Property (WLP), and can even fail to have unimodal Hilbert func…
Extensions of the Multiplicity Conjecture
Juan Migliore, Uwe Nagel, Tim Roemer
The Multiplicity conjecture of Herzog, Huneke, and Srinivasan states an upper bound for the multiplicity of any graded -algebra as well as a lower bound for Cohen-Macaulay algeb…
On the componentwise linearity and the minimal free resolution of a tetrahedral curve
Christopher A. Francisco, Juan C. Migliore, Uwe Nagel
A tetrahedral curve is an unmixed, usually non-reduced, one-dimensional subscheme of projective 3-space whose homogeneous ideal is the intersection of powers of the ideals of the s…
Families of reduced zero-dimensional schemes
Juan C. Migliore
A great deal of recent activity has centered on the question of whether, for a given Hilbert function, there can fail to be a unique minimum set of graded Betti numbers, and this i…
The geometry of Hilbert functions
Juan C. Migliore
We compare and contrast results of E. Davis, of A. Bigatti, A.V. Geramita and the author, and of J. Ahn and the author. The underlying idea is that certain numerical conditions on…