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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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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
Shin,, Y. (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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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