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math.AC2026
On Hellus--Lyubeznik--Yildirim's conjecture of local cohomology modules
Alberto F. Boix, Majid Eghbali
The goal of this paper is to study the so--called Hellus--Lyubeznik--Yildirim (HLY) conjecture, that predicts the following: given a regular local ring , and any…
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…