T. H. Freitas

activity

20152026

most citedOn generalized Hartshorne's conjecture and local cohomology modules

1 citations · 2 across the 9 of their papers we have counts for

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math.AC2026

Generalized mixed sequence multiplicity

T. H. Freitas, V. H. Jorge Pérez

Let $(R, m, k)$ be a Noetherian local ring, let $M$ be a nonzero finitely generated $R$ -module, and let $J_{1}, \dots, J_{s}$ be arbitrary proper ideals of positive height on $M…

math.AC2026

Asymptotic multiplicity sequences of graded families

T. H. Freitas, V. H. Jorge Pérez

We study asymptotic multiplicity sequences of graded families of arbitrary ideals in Noetherian local rings. We characterize convergence of the zeroth component and prove that the…

math.AC2026

Mixed multiplicities and Rees Theorems for graded families and their converses

T. H. Freitas, V. H. Jorge Pérez

Let $(R, m)$ be a Noetherian local ring and let $I^{(1)}, \dots, I^{(s)}$ be graded $m$ -primary families. We introduce weak asymptotic and stron…