Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Sijong Kwak"'
Publikováno v:
Journal of Algebra. 586:973-1013
In this paper, we are interested in the properties of inner and outer projections with a view toward the Eisenbud-Goto regularity conjecture or the characterization of varieties satisfying certain extremal conditions. For example, if X is a quadratic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c9b36b3a75dd2187fb17a2eddf0c3e6
https://doi.org/10.1016/j.jalgebra.2021.07.019
https://doi.org/10.1016/j.jalgebra.2021.07.019
Autor:
Sijong Kwak, Đoàn Trung Cường
Publikováno v:
Transactions of the American Mathematical Society. 373:1153-1180
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 with linear resolutions. Furthermore, it can be shown that there are onl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8802593d1935a168d33ccafcfec3832d
https://doi.org/10.1090/tran/7965
https://doi.org/10.1090/tran/7965
Autor:
Sijong Kwak, Jeaman Ahn
Publikováno v:
Journal of Algebra. 533:1-16
Let X be a reduced closed subscheme in P n , π : X → π ( X ) ⊂ P n − 1 be a projection from a point outside X and Z i ( X ) ⊂ π ( X ) be the closed subscheme defined by the i-th partial elimination ideal K i ( I X ) , which is supported on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33837307908fb0074253c9088c2e381f
https://doi.org/10.1016/j.jalgebra.2019.05.025
https://doi.org/10.1016/j.jalgebra.2019.05.025
Autor:
Sijong Kwak, Đoàn Trung CƯỜng
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fc578a3892c926efbbf23f574f1342f
http://arxiv.org/abs/1905.04826
http://arxiv.org/abs/1905.04826
Autor:
Sijong Kwak, Jinhyung Park
Publikováno v:
Advances in Mathematics. 364:107008
Let $X \subseteq \mathbb{P}^r$ be a non-degenerate smooth projective variety of dimension $n$, codimension $e$, and degree $d$ defined over an algebraically closed field of characteristic zero. In this paper, we first show that $\text{reg} (\mathcal{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0dbdaef5ffdfbaa4b4eb948eb6ebb89
https://doi.org/10.1016/j.aim.2020.107008
https://doi.org/10.1016/j.aim.2020.107008
Autor:
Jinhyung Park, Sijong Kwak
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7dbab4bcbbdb961685e1b4de006a4327
http://arxiv.org/abs/1803.01127
http://arxiv.org/abs/1803.01127
Autor:
Sijong Kwak, Jeaman Ahn
Publikováno v:
Journal of Pure and Applied Algebra. 219:2724-2739
Let X be a reduced, but not necessarily irreducible closed subscheme of codimension e in a projective space. One says that X satisfies property N d , p ( d ≥ 2 ) if the i -th syzygies of the homogeneous coordinate ring are generated by elements of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a745a577d3d741796114a068ba33d840
https://doi.org/10.1016/j.jpaa.2014.09.024
https://doi.org/10.1016/j.jpaa.2014.09.024
Autor:
Sijong Kwak, Jeaman Ahn
Publikováno v:
Journal of Algebra. 331(1):243-262
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4104127cdcaeb708e781f25a4de05431
Publikováno v:
Mathematische Zeitschrift. 258:463-475
Let X be a non-degenerate, not necessarily linearly normal projective variety in \(\mathbb{P}^r\). Recently the generalization of property Np to non-linearly normal projective varieties have been considered and its algebraic and geometric properties
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be6935ab47b718d7d5145fdc2b3f77fa
https://doi.org/10.1007/s00209-007-0181-9
https://doi.org/10.1007/s00209-007-0181-9
Autor:
Jinhyung Park, Sijong Kwak
The aim of this paper is to study geometric properties of non-degenerate smooth projective varieties of small degree from a birational point of view. First, using the positivity property of double point divisors and the adjunction mappings, we classi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25031d55af80a7272ac8aae4bce99182
http://arxiv.org/abs/1510.03358
http://arxiv.org/abs/1510.03358