3 papers
math.AC2026
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…
math.AC2025
Betti numbers of fold products of linear forms
Ricardo Burity, Stefan Tohaneanu
The ideals generated by fold products of linear forms are generalizations of powers of defining ideals of star configurations, or of Veronese type ideals, and in this paper we stud…
math.AC2024
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…