1 citations · 5 across the 12 of their papers we have counts for
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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,…
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}…
The Degree Complexity of Smooth Surfaces of codimension 2
Jeaman Ahn, Sijong Kwak, YeongSeok Song
D.Bayer and D.Mumford introduced the degree complexity of a projective scheme for the given term order as the maximal degree of the reduced Gröbner basis. It is well-known that the…
Graded mapping cone theorem, multisecants and syzygies
Jeaman Ahn, Sijong Kwak
Let be a reduced closed subscheme in . As a slight generalization of property due to Green-Lazarsfeld, we can say that satisfies property $\text…