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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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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: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
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. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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: The Pure and Applied Mathematics

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