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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…