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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.25 No.4

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THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3

THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2018, v.25 no.4, pp.337-343
https://doi.org/10.7468/jksmeb.2018.25.4.337
Shin, Yong-Su (Department of Mathematics, Sungshin Women's University)
Shin, Yong-Su. (2018). THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3. , 25(4), 337-343, https://doi.org/10.7468/jksmeb.2018.25.4.337

Abstract

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

keywords
Hilbert function, Artinian quotient, the strong Lefschetz property, the weak Lefschetz property

한국수학교육학회지시리즈B:순수및응용수학

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