5 papers
Weighted Veronese Rings via Convex Semigroups
Bek Chase, Luca Fiorindo, Thiago Holleben +4
We determine properties of two-dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentation, Gröbner basis, graded…
Asymptotic regularity of graded families of ideals
Tai Huy Ha, Hop D. Nguyen, Thai Thanh Nguyen
We show that the asymptotic regularity of a graded family of homogeneous ideals in a reduced standard graded algebra, i.e., the limit $\lim_{n \rightarrow \infty}…
Resurgence number and convex body associated to pairs of graded families of ideals
Tai Huy Ha, A. V. Jayanthan, Arvind Kumar +1
We discuss how to understand the asymptotic resurgence number of a pair of graded families of ideals from combinatorial data of their associated convex bodies. When the families co…
Asymptotic depth of invariant chains of edge ideals
Tran Quang Hoa, Do Trong Hoang, Dinh Van Le +2
We completely determine the asymptotic depth, equivalently, the asymptotic projective dimension of a chain of edge ideals that is invariant under the action of the monoid Inc of in…
Limits of length functions of multi -families of ideals
Thai Thanh Nguyen, Vinh Anh Pham
We show the asymptotic relationship between the limit of the normalized length function of a multi-family of ideals and that of its shifted family under linear growth condition…