1 citations · 5 across the 12 of their papers we have counts for
12 papers
On the first non-trivial strand of syzygies of projective schemes and Condition
Jeaman Ahn, Kangjin Han, Sijong Kwak
Let be any -dimensional closed subscheme. We are mainly interested in two notions related to syzygies: one is the property $\mathbf{N}_{d,p}~(d\ge 2,…
Green's theorem and Gorenstein sequences
Jeaman Ahn, Juan C. Migliore, Yong-Su Shin
We study consequences, for a standard graded algebra, of extremal behavior in Green's Hyperplane Restriction Theorem. First, we extend his Theorem 4 from the case of a plane curve…
Linear normality of general linear sections and some graded Betti numbers of 3-regular projective schemes
Jeaman Ahn, Kangjin Han
In this paper we study graded Betti numbers of any nondegenerate 3-regular algebraic set in a projective space . More concretely, via Generic initial ideals (Gin…
On Syzygies, degree, and geometric properties of projective schemes with property
Jeaman Ahn, Sijong Kwak
For an algebraic set (union of varieties) embedded in projective space, we say that satisfies property , if the -th syzygies of the homogene…
Generic Initial ideals of Singular Curves in Graded Lexicographic Order
Jeaman Ahn, Sijong Kwak, YeongSeok Song
In this paper, we are interested in the generic initial ideals of \textit{singular} projective curves with respect to the graded lexicographic order. Let be a \textit{singular}…
Artinian level algebras of codimension 3
Jeaman Ahn, Young Su Shin
In this paper, we continue the study of which -vectors can be the Hilbert function of a level algebra by investigating Artinian level algeb…