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math.AC2026
Closing two recent conjectures related to the Jacobian ideal of hyperplane arrangements
Abbas Nasrollah Nejad, Aron Simis
This work is about two conjectures stated by Burity--Simis--Tohăneanu regarding the Jacobian ideal of the defining polynomial of a central arrangement of hyperplanes. One settl…
math.AC2026
The structure of almost Cohen-Macaulay -generated ideals of codimension in terms of matrix theory
Ricardo Burity, Thiago Fiel, Zaqueu Ramos +1
Let be a standard graded polynomial ring over a field . The paper focuses on homogeneous ideals of codimension generated by three forms of the same degree…