Thiago Fiel

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20212026

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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.AC2021

Bass and Betti numbers of a module and its deficiency modules

Thiago Fiel, Rafael Holanda

This paper aims to provide several relations between Bass and Betti numbers of a given module and its deficiency modules. Such relations and the tools used throughout allow us to g…

math.AC2021

A genus explanation of the Buchsbaum-Rim multiplicity

Vinicius Bouça, Thiago Fiel, Seyed Hamid Hassanzadeh +1

We study the Buchsbaum-Rim multiplicity, ab inicio, through a Koszul-Čech spectral sequence. We show that the Buchsbaum-Rim multiplicity is the arithmetic genus (Euler characterist…

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

Additions to a theorem of Morey-Ulrich

Bass and Betti numbers of a module and its deficiency modules

A genus explanation of the Buchsbaum-Rim multiplicity

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