3 papers
math.AC2026
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…
math.AC2024
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…
math.AC2023
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…