2 papers
math.AC2025
Defect Functions Between Filtrations of Ideals
Arindam Banerjee, Tai Huy Ha, Vivek Bhabani Lama
We introduce and study the defect function associated to a pair of filtrations of ideals, which generalizes the symbolic defect of ideals. Under the assumption that the Rees algebr…
math.AC2017
Regularity of Edge Ideals and Their Powers
Arindam Banerjee, Selvi Kara, Huy Tai Ha
We survey recent studies on the Castelnuovo-Mumford regularity of edge ideals of graphs and their powers. Our focus is on bounds and exact values of and the asymp…