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math.AC2025
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…
math.AC2022
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 .…