논문KCI 등재
THE ARTINIAN QUOTIENT OF CODIMENSION n + 1
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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 configuration in $\P^n$ of type $(n+1)$ (or $(n+1)$-general points in $\P^n$), which generalizes the result of \cite[Theorem 3.1]{S:7}.
Abstract
We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star configuration in $\P^n$ of type $(n+1)$ (or $(n+1)$-general points in $\P^n$), which generalizes the result of \cite[Theorem 3.1]{S:7}.
참고문헌 (7)
- 안재만, "THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN Pn AND THE WEAK LEFSCHETZ PROPERTY", 대한수학회지, 49(2), pp.405~417 (2012), 대한수학회
- E. Carlini, "Star configurations on generic hypersurfaces", J. Algebra, 407, pp.1~20 (2014)
- A.V. Geramita, "Star Configurations in Pn", J. Algebra, 376, pp.279~299 (2013)
- Y.R. Kim, "The Artinian Point Star Configuration Quotient and the Strong Lefschetz Property", ~
- J.P. Park, "The Minimal Free Resolution of a Star-configuration 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
- 신용수, "THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3", 순수 및 응용수학, 25(4), pp.337~343 (2018), 한국수학교육학회[DOI]
관련 논문AI추천
THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3신용수한국수학교육학회 · 이론수학과 교직수학2018 · 제25권 제4호An Artinian point-configuration quotient and the strong Lefschetz property김영록, 신용수대한수학회 · 대한수학회지2018 · 제55권 제4호The Artinian point star configuration quotient and the strong Lefschetz property김영록, 신용수대한수학회 · 대한수학회지2019 · 제56권 제3호THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN Pn AND THE WEAK LEFSCHETZ PROPERTY신용수, 안재만대한수학회 · 대한수학회지2012 · 제49권 제2호The minimal free resolution of the union of two linear star-configurations in $\P^2$Yong Su Shin대한수학회 · 대한수학회논문집2016 · 제31권 제4호A graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$박정필, 신용수대한수학회 · 대한수학회지2021 · 제58권 제2호
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