3 papers
math.AC2025
Special fibers of coordinate sections of Hankel Matrices
Katie Ansaldi, Dayane Lira, Maral Mostafazadehfard +2
We investigate the special fibers associated with certain coordinate sections of Hankel determinantal ideals. We provide explicit descriptions of their defining equations, showing…
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…
math.AC2020
Equigenerated Gorenstein ideals of codimension three
Dayane Lira, Zaqueu Ramos, Aron Simis
We focus on the structure of a homogeneous Gorenstein ideal of codimension three in a standard polynomial ring $R=\kk[x_1,\ldots,x_n]$ over a field $\kk$, assuming that is…