5 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--TohÄneanu regarding the Jacobian ideal of the defining polynomial of a central arrangement of hyperplanes. One sett…
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…
Understanding and Predicting Derailment in Toxic Conversations on GitHub
Mia Mohammad Imran, Robert Zita, Rebekah Copeland +3
Software projects thrive on the involvement and contributions of individuals from different backgrounds. However, toxic language and negative interactions can hinder the participat…