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

ISSN : 3059-0604

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Vol.26 No.3

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THE ARTINIAN QUOTIENT OF CODIMENSION n + 1

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
2019, v.26 no.3, pp.209-214
https://doi.org/10.7468/jksmeb.2019.26.3.209
Shin, Yong-Su
Shin,, Y. (2019). THE ARTINIAN QUOTIENT OF CODIMENSION n + 1. , 26(3), 209-214, https://doi.org/10.7468/jksmeb.2019.26.3.209

Abstract

We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star configuration in <TEX>${\mathbb{P}}^n$</TEX> of type (n+1) (or (n+1)-general points in <TEX>${\mathbb{P}}^n$</TEX>), which generalizes the result [7, Theorem 3.1].

keywords
Hilbert function, star configuration, generic Hilbert function, weak Lefschetz property, strong Lefschetz property

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

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