2 papers
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
Regularity of deficiency modules through spectral sequences
Alberto F. Boix, Santiago Zarzuela
The main goal of this paper is to obtain upper bounds for the regularity of graded deficiency modules in the spirit of the one obtained by Kumini--Murai in the monomial case buildi…