1 citations · 1 across the 18 of their papers we have counts for
18 papers
Finite projective dimension and a question of Jorgensen
Rafael Holanda, Cleto B. Miranda-Neto
This paper studies finite projective dimension of finitely generated modules over a Noetherian local ring, by means of spectral sequence methods related to generalized local cohomo…
Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
André Dosea, Majid Eghbali, Cleto B. Miranda-Neto
We study the surjectivity of certain maps involving local cohomology modules, which we can realize as a dual version of part of the investigation developed by Bhatt, Blickle, Lyube…
On the factorial case of Huneke's conjecture for local cohomology modules
André Dosea, Cleto B. Miranda-Neto
A conjecture raised in 1990 by C. Huneke predicts that, for a -dimensional Noetherian local ring , local cohomology modules of finitely generated -modules have finitely ma…
Bounds on Dao numbers and applications to regular local rings
Antonino Ficarra, Cleto B. Miranda-Neto, Douglas S. Queiroz
The so-called Dao numbers are a sort of measure of the asymptotic behaviour of full properties of certain product ideals in a Noetherian local ring with infinite residue field…
Homological dimensions, the Gorenstein property, and special cases of some conjectures
Souvik Dey, Rafael Holanda, Cleto B. Miranda-Neto
Our purpose in this work is multifold. First, we provide general criteria for the finiteness of the projective and injective dimensions of a finite module over a (commutative)…
An Ext-Tor duality theorem, cohomological dimension, and applications
Rafael Holanda, Cleto B. Miranda-Neto
We provide a duality theorem between Ext and Tor modules over a Cohen-Macaulay local ring possessing a canonical module, and use it to prove some freeness criteria for finite modul…
Tensor products and solutions to two homological conjectures for Ulrich modules
Cleto B. Miranda-Neto, Thyago S. Souza
We address the problem of when the tensor product of two finitely generated modules over a Cohen-Macaulay local ring is Ulrich in the generalized sense of Goto et al., and in parti…
Dao's question on the asymptotic behaviour of fullness
Cleto B. Miranda-Neto, Douglas S. Queiroz
For a local ring $(R, \M)$ of infinite residue field and positive depth, we address the question raised by H. Dao on how to control the asymptotic behaviour of the $\M$-full, full,…
Generalized Hartshorne's problem on finiteness properties of local cohomology modules
André Dosea, Rafael Holanda, Cleto B. Miranda-Neto
Our main goal in this paper is to answer new positive cases of the natural generalized version of Hartshorne's celebrated question on cofiniteness of local cohomology modules, and…
Free divisors, blowup algebras of Jacobian ideals, and maximal analytic spread
Ricardo Burity, Cleto B. Miranda-Neto, Zaqueu Ramos
Free divisors form a celebrated class of hypersurfaces which has been extensively studied in the past fifteen years. Our main goal is to introduce four new families of homogeneous…
Rigid modules and homological dimensions
Victor H. Jorge-Pérez, Cleto B. Miranda-Neto
We make use of the concepts of Tor-rigid and rigid-test modules, among others, to investigate the interplay between cohomology vanishing and the finiteness of several homological d…
On reduction numbers and Castelnuovo-Mumford regularity of blowup rings and modules
Cleto B. Miranda-Neto, Douglas S. Queiroz
We prove new results on the connections between reduction numbers and the Castelnuovo-Mumford regularity of blowup algebras and blowup modules, the key basic tool being the operati…
Vanishing of (co)homology, freeness criteria, and the Auslander-Reiten conjecture for Cohen-Macaulay Burch rings
Rafael Holanda, Cleto B. Miranda-Neto
We establish new results on (co)homology vanishing and Ext-Tor dualities, and derive a number of freeness criteria for finite modules over Cohen-Macaulay local rings. In the main a…
On reduced G-perfection and horizontal linkage relative to a semidualizing module
Cleto B. Miranda-Neto, Thyago S. Souza
In their investigation of horizontal linkage of modules of finite Gorenstein dimension over a commutative, Noetherian, semiperfect (e.g., local) ring, Dibaei and Sadeghi introduced…
On the theory of generalized Ulrich modules
Cleto B. Miranda-Neto, Douglas S. Queiroz, Thyago S. Souza
In this paper we further develop the theory of generalized Ulrich modules introduced in 2014 by Goto et al. Our main goal is to address the problem of when the operations of taking…
Generalized local duality, canonical modules, and prescribed bound on projective dimension
Thiago H. Freitas, Victor H. Jorge-Pérez, Cleto B. Miranda-Neto +1
We present various approaches to J. Herzog's theory of generalized local cohomology and explore its main aspects, e.g., (non-)vanishing results as well as a general local duality t…
A formula for symbolic powers
Paolo Mantero, Cleto B. Miranda-Neto, Uwe Nagel
Let be a Cohen-Macaulay ring which is local or standard graded over a field, and let be an unmixed ideal that is also generically a complete intersection. Our goal in this…
Strong -regularity and generating morphisms of local cohomology modules
Mordechai Katzman, Cleto B. Miranda-Neto
We establish a criterion for the strong -regularity of a (non-Gorenstein) Cohen-Macaulay reduced complete local ring of dimension at least , containing a perfect field of pri…