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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 denote a standard graded polynomial ring over an algebraically closed field , and let be a perfect ideal of codimension with an $n…
math.AC2025
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…