3 papers
math.AC2023
Regularity functions of powers of graded ideals
Le Tuan Hoa, Hop Dang Nguyen, Ngo Viet Trung
This paper studies the problem of which sequences of non-negative integers arise as the functions , , $\operatorname{reg}…
math.AC2023
A general formula for the index of depth stability of edge ideals
Ha Minh Lam, Ngo Viet Trung, Tran Nam Trung
By a classical result of Brodmann, the function is asymptotically a constant, i.e. there is a number such that $\operatorname{depth} R/I^t = \opera…
math.AC2017
Depth and regularity modulo a principal ideal
Giulio Caviglia, Huy Tai Ha, Jürgen Herzog +3
We study the relationship between depth and regularity of a homogeneous ideal I and those of (I,f) and I:f, where f is a linear form or a monomial. Our results has several interest…