95 citations · 285 across the 45 of their papers we have counts for
57 papers
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…
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…
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…
Additions to a theorem of Morey-Ulrich
Thiago Fiel, Zaqueu Ramos, Aron Simis
Let denote a standard graded polynomial ring over an algebraically closed field , and let be a perfect ideal of codimension with an $n…
Cohen--Macaulay ideals of codimension two and the geometry of plane points
Dayane Lira, Geisa Oliveira, Zaqueu Ramos +1
We consider classes of codimension two Cohen--Macaulay ideals over a standard graded polynomial ring over a field. We revisit Vasconcelos' problem on matrices with homo…
Rose-Terao-Yuzvinsky theorem for reduced forms
Ricardo Burity, Zaqueu Ramos, Aron Simis +1
Yuzvinsky and Rose-Terao have shown that the homological dimension of the gradient ideal of the defining polynomial of a generic hyperplane arrangement is maximum possible. In this…