1 citations · 5 across the 12 of their papers we have counts for
6 papers · 1 filter
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…
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…
The Gotzmann Coefficients of Hilbert Functions
Jeaman Ahn, Anthony V. Geramita, Yong Su Shin
In this paper we investigate some algebraic and geometric consequences which arise from an extremal bound on the Hilbert function of the general hyperplane section of a variety (Gr…
Generic Initial Ideals of Artinian Ideals Having Lefschetz Properties or The Strong Stanley Property
Jea Man Ahn, Young Hyun Cho, Jung Pil Park
For a standard Artinian -algebra , we give equivalent conditions for to have the weak (or strong) Lefschetz property or the strong Stanley property in terms of the mi…
Generic Initial Ideals And Graded Artinian Level Algebras Not Having The Weak-Lefschetz Property
Jea-Man Ahn, Yong Su Shin
We find a sufficient condition that $\H$ is not level based on a reduction number. In particular, we prove that a graded Artinian algebra of codimension 3 with Hilbert function $\H…
Some Geometric Results arising from the Borel Fixed Property
Jeaman Ahn, Juan C. Migliore
In this paper, we will give some geometric results using generic initial ideals for the degree reverse lex order. The first application is to the regularity of a Cohen-Macaulay alg…