18 citations · 20 across the 12 of their papers we have counts for
9 papers · 1 filter
Numerical invariants for three-generated ideals
Marcos Jardim, Felipe Monteiro, Abbas Nasrollah Nejad +1
We study numerical invariants of homogeneous ideals generated by three forms, with particular emphasis on the interaction between the initial degree of the syzygy module, the multi…
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 relation type of point configurations in the projective plane
Ethan Cotterill, Amir Mohammad Kach khaali, Abbas Nasrollah Nejad
We study the {\it relation type} of ideals of finite reduced sets of points in the projective plane; for a given ideal, this is the maximal -degree of a minimal generator of the…
The Bourbaki degree of the syzygy module of 2 4 matrices
Marcos Jardim, Felipe Monteiro, Abbas Nasrollah Nejad
We introduce and study the Bourbaki degree as a numerical invariant for \(2 \times 4\) matrices of homogeneous polynomials over a polynomial ring \(R = k[x_1, \dots, x_n]\). Th…
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…
The Valabrega-Valla modules of monomial ideals
Abbas Nasrollah Nejad, Ali Akbar Yazdan Pour
In this paper, we focus on the initial degree and the vanishing of the Valabrega-Valla module of a pair of monomials ideals in a polynomials ring over a field $\math…