The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3

  • Shin, Yong-Su (Department of Mathematics, Sungshin Women's University)
  • Received : 2018.10.08
  • Accepted : 2018.11.27
  • Published : 2018.11.30
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Abstract

We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star configuration in ${\mathbb{P}}^2$ of type 3 (or 3-general points in ${\mathbb{P}}^2$). As an application, we prove that such an Artinian quotient has the SLP.

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References

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