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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)

  1. 안재만, "THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN Pn AND THE WEAK LEFSCHETZ PROPERTY", 대한수학회지, 49(2), pp.405~417 (2012), 대한수학회
  2. E. Carlini, "Star configurations on generic hypersurfaces", J. Algebra, 407, pp.1~20 (2014)
  3. A.V. Geramita, "Star Configurations in Pn", J. Algebra, 376, pp.279~299 (2013)
  4. Y.R. Kim, "The Artinian Point Star Configuration Quotient and the Strong Lefschetz Property", ~
  5. J.P. Park, "The Minimal Free Resolution of a Star-configuration in Pn", J. Pure Appl. Algebra, 219, pp.2124~2133 (2015)
  6. 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
  7. 신용수, "THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3", 순수 및 응용수학, 25(4), pp.337~343 (2018), 한국수학교육학회[DOI]

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