P. H. Lima

activity

20122023

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

2 citations · 2 across the 4 of their papers we have counts for

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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.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…