V. J. Jorge Pérez

activity

20112026

collaborators

8 papers

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…

math.AC2015

Graded Version of Some Basic Theorems on Local Cohomology to a Pair of Ideals

P. H. Lima, V. H. Jorge Perez

In this paper, we prove some well-known results on local cohomology with respect to a pair of ideals in graded version, such as, Independence Theorem, Lichtenbaum-Harshorne Vanishi…

math.AC2015

Some Results about Endomorphism Rings for Local Cohomology Defined by a Pair of Ideals

V. H. Jorge Perez, T. H. Freitas

Let $(R, m, k)$ denote a local ring. For $I$ and $J$ ideals of $R$ , for all integer $i$ , let $H_{I, J}^{i} (-)$ denote the $i$ -th local cohomology functor with respect to $(I,…

math.AC2012

On the Gorenstein Property of the Fiber Cone to Filtrations

P. H. Lima, V. H. Jorge Perez

Let $(A, m)$ be a Noetherian local ring and $F = (I_{n})_{n \geq 0}$ a filtration. In this paper, we study the Gorenstein properties of the fiber cone $F(\mathfr…