Z. Ramos

collaborators

Showing math.ACShow all

4 papers · 1 filter

math.AC2026

The structure of almost Cohen-Macaulay $3$ -generated ideals of codimension $2$ in terms of matrix theory

Ricardo Burity, Thiago Fiel, Zaqueu Ramos +1

Let $R$ be a standard graded polynomial ring over a field $k$ . The paper focuses on homogeneous ideals $J \subset R$ of codimension $2$ generated by three forms of the same degree…

math.AC2025

Additions to a theorem of Morey-Ulrich

Thiago Fiel, Zaqueu Ramos, Aron Simis

Let $R = k [x_{1}, \dots, x_{d}]$ denote a standard graded polynomial ring over an algebraically closed field $k$ , and let $I \subset R$ be a perfect ideal of codimension $2$ with an $n…

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…

math.AC2024

Matrices over polynomial rings approached by commutative algebra

Zaqueu Ramos, Aron Simis

The main goal of the paper is the discussion of a deeper interaction between matrix theory over polynomial rings over a field and typical methods of commutative algebra and related…

The structure of almost Cohen-Macaulay 3-generated ideals of codimension 2 in terms of matrix theory

Additions to a theorem of Morey-Ulrich

Rose-Terao-Yuzvinsky theorem for reduced forms

Matrices over polynomial rings approached by commutative algebra

The structure of almost Cohen-Macaulay $3$ -generated ideals of codimension $2$ in terms of matrix theory