44 citations · 48 across the 6 of their papers we have counts for
8 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…
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…
Alexander duals of symmetric simplicial complexes and Stanley-Reisner Ideals
Ayah Almousa, Kaitlin Bruegge, Martina Juhnke-Kubitzke +2
Given an ascending chain of $\Sym$-invariant squarefree monomial ideals, we study the corresponding chain of Alexander duals .…
Line arrangements and configurations of points with an unusual geometric property
David Cook, Brian Harbourne, Juan Migliore +1
The SHGH conjecture proposes a solution to the question of how many conditions a general union of fat points imposes on the complete linear system of curves in of fix…
Matroid configurations and symbolic powers of their ideals
A. V. Geramita, B. Harbourne, J. Migliore +1
Star configurations are certain unions of linear subspaces of projective space that have been studied extensively. We develop a framework for studying a substantial generalization,…
Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas
Alberto Corso, Uwe Nagel, Sonja Petrović +1
We investigate Rees algebras and special fiber rings obtained by blowing up specialized Ferrers ideals. This class of monomial ideals includes strongly stable monomial ideals gener…
Secant Varieties of the Varieties of Reducible Hypersurfaces in
M. V. Catalisano, A. V. Geramita, A. Gimigliano +4
Given the space of forms of degree in variables, and given an integer and a partition of , it is in ge…
Glicci ideals
Juan Migliore, Uwe Nagel
A central problem in liaison theory is to decide whether every arithmetically Cohen-Macaulay subscheme of projective -space can be linked by a finite number of arithmetically Go…