V. H. Jorge Pérez

activity

20122023

most citedCastelnuovo-Mumford Regularity of the Fiber Cone for good filtrations

2 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.AC2023

Mixed multiplicity and Converse of Rees' theorem for modules

M. D. Ferrari, V. H. Jorge-Perez, L. C. Merighe

In this paper, we prove the converse of Rees' mixed multiplicity theorem for modules, which extends the converse of the classical Rees' mixed multiplicity theorem for ideals given…

math.AC2023

On Coefficient Module of Arbitrary Modules

M. D. Ferrari, V. H. Jorge Perez, P. H. Lima

Let $(R, m)$ be a $d$ -dimensional Noetherian local ring that is formally equidimensional, and let $M$ be an arbitrary $R$ -submodule of the free module $F = R^{p}$ with an…

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★ 2 cited

Castelnuovo-Mumford Regularity of the Fiber Cone for good filtrations

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

In this paper we show that there is a close relationship between the invariants characterizing the homogeneous vanishing of the local cohomology of the Rees algebra and the associa…

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…