7 papers
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…
Combinatorics of skew lines in with an application to algebraic geometry
Luca Chiantini, Åucja Farnik, Giuseppe Favacchio +4
This article introduces a previously unrecognized combinatorial structure underlying configurations of skew lines in , and reveals its deep and surprising connection…
On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces
Giuseppe Favacchio, Elena Guardo, Juan Migliore
Published version: We study the arithmetically Cohen-Macaulay (ACM) property for finite sets of points in multiprojective spaces, especially . A combinatorial char…
Jacobian schemes arising from hypersurface arrangements in
Juan Migliore, Uwe Nagel
Freeness is an important property of a hypersurface arrangement, although its presence is not well understood. A hypersurface arrangement in $\PP^n$ is free if is Cohen-Macau…
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…