Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Ahn, Jeaman"'
Publikováno v:
Alg. Number Th. 17 (2023) 1359-1380
Let $X\subset\mathbb{P}^{n+e}$ be any $n$-dimensional closed subscheme. We are mainly interested in two notions related to syzygies: one is the property $\mathbf{N}_{d,p}~(d\ge 2, ~p\geq 1)$, which means that $X$ is $d$-regular up to $p$-th step in t
Externí odkaz:
http://arxiv.org/abs/2011.06785
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 to the case of a hypersurface in a linear space. Second, assuming a ce
Externí odkaz:
http://arxiv.org/abs/1609.04650
Autor:
Ahn, Jeaman, Han, Kangjin
In this paper we study graded Betti numbers of any nondegenerate 3-regular algebraic set $X$ in a projective space $\mathbb P^{n}$. More concretely, via Generic initial ideals (Gins) method we mainly consider `tailing' Betti numbers, whose homologica
Externí odkaz:
http://arxiv.org/abs/1404.1757
On Syzygies, degree, and geometric properties of projective schemes with property $\textbf{N}_{3,p}$
Autor:
Ahn, Jeaman, Kwak, Sijong
For an algebraic set $X$ (union of varieties) embedded in projective space, we say that $X$ satisfies property $\textbf{N}_{d,p}$, $(d\ge 2)$ if the $i$-th syzygies of the homogeneous coordinate ring are generated by elements of degree $< d+i$ for $0
Externí odkaz:
http://arxiv.org/abs/1402.3100
In this paper, we are interested in the generic initial ideals of \textit{singular} projective curves with respect to the graded lexicographic order. Let $C$ be a \textit{singular} irreducible projective curve of degree $d\geq 5$ with the arithmetic
Externí odkaz:
http://arxiv.org/abs/1108.0045
Autor:
Ahn, Jeaman, Shin, Young Su
In this paper, we continue the study of which $h$-vectors $\H=(1,3,..., h_{d-1}, h_d, h_{d+1})$ can be the Hilbert function of a level algebra by investigating Artinian level algebras of codimension 3 with the condition $\beta_{2,d+2}(I^{\rm lex})=\b
Externí odkaz:
http://arxiv.org/abs/1107.3899
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 Gr\"{o}bner basis. It is well-known that the degree complexity with respect to the graded reverse lexicographi
Externí odkaz:
http://arxiv.org/abs/1008.0978
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 (Green's Hyperplane Restriction Theorem). These geometric consequences im
Externí odkaz:
http://arxiv.org/abs/0809.3281
Autor:
Ahn, Jeaman, Kwak, Sijong
Let $X$ be a reduced closed subscheme in $\mathbb P^n$. As a slight generalization of property $\textbf{N}_p$ due to Green-Lazarsfeld, we can say that $X$ satisfies property $\textbf{N}_{2,p}$ scheme-theoretically if there is an ideal $I$ generating
Externí odkaz:
http://arxiv.org/abs/0804.3757