Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Kwak, Sijong"'
The purpose of this paper is to prove that one can read off the gonality sequence of a smooth projective curve from syzygies of secant varieties of the curve embedded by a line bundle of sufficiently large degree. More precisely, together with Ein-Ni
Externí odkaz:
http://arxiv.org/abs/2307.03405
Autor:
Han, Jong In, Kwak, Sijong
It is well known that the Eisenbud-Goto regularity conjecture is true for arithmetically Cohen-Macaulay varieties, projective curves, smooth surfaces, smooth threefolds in $\mathbb{P}^5$, and toric varieties of codimension two. After J. McCullough an
Externí odkaz:
http://arxiv.org/abs/2210.07174
Autor:
Choe, Junho, Kwak, Sijong
A variety of minimal degree is one of the basic objects in projective algebraic geometry and has been classified and characterized in many aspects. On the other hand, there are also minimal objects in the category of higher secant varieties, and thei
Externí odkaz:
http://arxiv.org/abs/2207.06851
Autor:
Choe, Junho, Kwak, Sijong
In projective algebraic geometry, there are classical and fundamental results that describe the structure of geometry and syzygies, and many of them characterize varieties of minimal degree and del Pezzo varieties. In this paper, we consider analogou
Externí odkaz:
http://arxiv.org/abs/2103.02412
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
Publikováno v:
In Journal of Algebra 15 December 2023 636:732-756
Autor:
Cuong, Doan Trung, Kwak, Sijong
The degree of a projective subscheme has an upper bound in term of the codimension and the reduction number. If a projective variety has an almost maximal degree, that is, the degree equals to the upper bound minus one, then its Betti table has been
Externí odkaz:
http://arxiv.org/abs/1905.04826
Autor:
Cuong, Doan Trung, Kwak, Sijong
In this paper, we prove the degree upper bound of projective subschemes in terms of the reduction number and show that the maximal cases are only arithmetically Cohen-Macaulay subschemes with linear resolution. Furthermore, it can be shown that there
Externí odkaz:
http://arxiv.org/abs/1811.08386
Autor:
Kwak, Sijong, Park, Jinhyung
The geometric and algebraic properties of smooth projective varieties with 1-regular structure sheaf are well understood, and the complete classification of these varieties is a classical result. The aim of this paper is to study the next case: smoot
Externí odkaz:
http://arxiv.org/abs/1803.01127