A. Simis

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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--TohÄneanu regarding the Jacobian ideal of the defining polynomial of a central arrangement of $m$ hyperplanes. One sett…

math.AC2026

The structure of almost Cohen-Macaulay $3$ -generated ideals of codimension $2$ in terms of matrix theory

Ricardo Burity, Thiago Fiel, Zaqueu Ramos +1

Let $R$ be a standard graded polynomial ring over a field $k$ . The paper focuses on homogeneous ideals $J \subset R$ of codimension $2$ generated by three forms of the same degree…

math.AC2025

Quasihomogeneous isolated singularities in terms of syzygies and foliations

Hamid Hassanzadeh, Abbas Nasrollah Nejad, Aron Simis

One considers quasihomogeneous isolated singularities of hypersurfaces in arbitrary dimensions through the lenses of three apparently quite apart themes: syzygies, singularity inva…

math.AC2025

Additions to a theorem of Morey-Ulrich

Thiago Fiel, Zaqueu Ramos, Aron Simis

Let $R = k [x_{1}, \dots, x_{d}]$ denote a standard graded polynomial ring over an algebraically closed field $k$ , and let $I \subset R$ be a perfect ideal of codimension $2$ with an $n…

Closing two recent conjectures related to the Jacobian ideal of hyperplane arrangements

The structure of almost Cohen-Macaulay 3-generated ideals of codimension 2 in terms of matrix theory

Quasihomogeneous isolated singularities in terms of syzygies and foliations

Additions to a theorem of Morey-Ulrich

The structure of almost Cohen-Macaulay $3$ -generated ideals of codimension $2$ in terms of matrix theory