논문KCI 등재
THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3
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초록
We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star con guration in P2 of type 3 (or 3-general points in P2). As an application, we prove that such an Artinian quotient has the SLP.
Abstract
We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star con guration in P2 of type 3 (or 3-general points in P2). As an application, we prove that such an Artinian quotient has the SLP.
참고문헌 (8)
- 안재만, "THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN Pn AND THE WEAK LEFSCHETZ PROPERTY", 대한수학회지, 49(2), pp.405~417 (2012), 대한수학회
- A.V. Geramita, "Some Special Congurations of Points in Pn", J. Algebra, 268(2), pp.484~518 (2003)
- A.V. Geramita, "On the rst innitesimal neighborhood of a linear conguration of points in P2", J. Algebra, 298, pp.563~611 (2008)
- Y.R. Kim, "Star-congurations in Pn and The Weak-Lefschetz Property", Communications in Algebra, 44, pp.3853~3873 (2016)
- 김영록, "An Artinian point-configuration quotient and the strong Lefschetz property", 대한수학회지, 55(4), pp.763~783 (2018), 대한수학회
- Y.R. Kim, "The Artinian Point Star Conguration Quotient and the Strong Lefschetz Property", ~
- J.P. Park, "The Minimal Free Resolution of A Star-conguration in Pn", J. Pure Appl. Algebra, 219, pp.2124~2133 (2015)
- 신용수, "Some example of the union of two linear star-configurations in P2 having generic Hilbert function", 충청수학회지, 26(2), pp.403~409 (2013), 충청수학회
관련 논문AI추천
THE ARTINIAN QUOTIENT OF CODIMENSION n + 1신용수한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제3호An Artinian point-configuration quotient and the strong Lefschetz property김영록, 신용수대한수학회 · 대한수학회지2018 · 제55권 제4호THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN Pn AND THE WEAK LEFSCHETZ PROPERTY신용수, 안재만대한수학회 · 대한수학회지2012 · 제49권 제2호The Artinian point star configuration quotient and the strong Lefschetz property김영록, 신용수대한수학회 · 대한수학회지2019 · 제56권 제3호The minimal free resolution of the union of two linear star-configurations in $\P^2$Yong Su Shin대한수학회 · 대한수학회논문집2016 · 제31권 제4호A SYMBOLIC POWER OF THE IDEAL OF A STANDARD k-CONFIGURATION IN P2신용수한국수학교육학회 · 이론수학과 교직수학2018 · 제25권 제1호
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