44 citations · 142 across the 75 of their papers we have counts for
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Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers
Juan Migliore, Uwe Nagel
A hyperplane arrangement $\cA$ is said to be free if the corresponding Jacobian ideal $J_\cA$ is Cohen-Macaulay. If $\cA$ is free then $J_\cA$ is unmixed (i.e. equidimensional). Fr…
On the Weak Lefschetz Property for certain ideals generated by powers of linear forms
Giuseppe Favacchio, Juan Migliore
Ideals generated by powers of linear forms arise, via Macaulay duality, from sets of fat points . Properties of are conn…
The weak Lefschetz property for artinian Gorenstein algebras of small Sperner number
Mats Boij, Juan C. Migliore, Rosa Maria Miró-Roig +1
For artinian Gorenstein algebras in codimension four and higher, it is well known that the Weak Lefschetz Property (WLP) does not need to hold. For Gorenstein algebras in codimensi…
The ACM property for unions of lines in
Giuseppe Favacchio, Juan Migliore
This paper examines the Arithmetically Cohen-Macaulay (ACM) property for certain codimension 2 varieties in called sets of lines in $\mathbb P^1\tim…
The Minimal Resolution Conjecture on a general quartic surface in
Mats Boij, Juan C. Migliore, Rosa María Miró-Roig +1
Mustaţă has given a conjecture for the graded Betti numbers in the minimal free resolution of the ideal of a general set of points on an irreducible projective algebraic variety. F…
The Weak Lefschetz property for quotients by Quadratic Monomials
Juan Migliore, Uwe Nagel, Hal Schenck
In [MMR], Michałek--Miró-Roig give a beautiful geometric characterization of Artinian quotients by ideals generated by quadratic or cubic monomials, such that the multiplication ma…